
Courses
Courses
Choosing a course is one of the most important decisions you'll ever make! View our courses and see what our students and lecturers have to say about the courses you are interested in at the links below.

University Life
University Life
Each year more than 4,000 choose NUI Galway as their University of choice. Find out what life at NUI Galway is all about here.

About NUI Galway
About NUI Galway
Since 1845, NUI Galway has been sharing the highest quality teaching and research with Ireland and the world. Find out what makes our University so special – from our distinguished history to the latest news and campus developments.

Colleges & Schools
Colleges & Schools
NUI Galway has earned international recognition as a researchled university with a commitment to top quality teaching across a range of key areas of expertise.

Research
Research
NUI Galway’s vibrant research community take on some of the most pressing challenges of our times.

Business & Industry
Guiding Breakthrough Research at NUI Galway
We explore and facilitate commercial opportunities for the research community at NUI Galway, as well as facilitating industry partnership.

Alumni, Friends & Supporters
Alumni, Friends & Supporters
There are over 90,000 NUI Galway graduates Worldwide, connect with us and tap into the online community.

Community Engagement
Community Engagement
At NUI Galway, we believe that the best learning takes place when you apply what you learn in a real world context. That's why many of our courses include work placements or community projects.
Mathematics, Statistics & Applied Mathematics
Professor Dane Flannery
MSc, DPhil
Contact Details
Personal Professor

Room ADB1011
Áras De Brún
School of Mathematics, Statistics and Applied Mathematics
T: Ext. 3587
E: dane.flannery@nuigalway.ie
W: http://maths.nuigalway.ie/~dane/

Room ADB1011
Áras De Brún
School of Mathematics, Statistics and Applied Mathematics
T: Ext. 3587
E: dane.flannery@nuigalway.ie
W: http://maths.nuigalway.ie/~dane/
Biography
Research Interests
Research Projects
Project  Start Date  End Date  

MatGroups  01MAR16  30NOV16  
Matrix groups: algorithms and applications,  01MAR15  30NOV15  
IRC POSTGRADUATE R EGAN DANE FLANNERY  01OCT13  30SEP15  
ALGORITHMS FOR ARITHMETIC GROUPS WITH CONGRUENCE SUBGROUP PROPERTY SFI SHORT TERM TRAVEL FELLOWSHIP 11/RFP.1/MTH/3212  STTF 11 DANE FLANNERY  01SEP11  31AUG12  
ALGORITHMS FOR COMPUTING WITH MATRIX GROUPS  01SEP08  01NOV13  
A NEW FOUNDATION FOR COMPUTING WITH LINEAR GROUPS SFI RFP 11/RFP.1.MTH/3212 DANE FLANNERY  01OCT11  15NOV16  
MF2003 MF90 03 M DANE FLANNERY  01JAN04  31DEC04  
SFI COMPUTING IN LINEAR GROUPS DANE FLANNERY  31JUL05  30SEP10 
Peer Reviewed Journals
Year  Publication  

(2017)  'Editorial to this special issue in memory of Laci Kov\'acs'
Glasby, S. P. and Flannery, Dane and Praeger, Cheryl E. and St\"ohr, Ralph (2017) 'Editorial to this special issue in memory of Laci Kov\'acs'. J. Aust. Math. Soc, 102 (1):12 [DOI] [Details] 

(2017)  'L. G. Kov\'acs and linear groups'
Detinko, A. S. and Flannery, D. L. (2017) 'L. G. Kov\'acs and linear groups'. J. Aust. Math. Soc, 102 (1):5562 [DOI] [Details] 

(2017)  'Automorphisms of generalized Sylvester Hadamard matrices'
Egan, R. and Flannery, D. L. (2017) 'Automorphisms of generalized Sylvester Hadamard matrices'. Discrete Math, 340 (3):516523 [DOI] [Details] 

(2015)  'Algorithms for arithmetic groups with the congruence subgroup property'
Detinko, A. S. and Flannery, D. L. and Hulpke, A. (2015) 'Algorithms for arithmetic groups with the congruence subgroup property'. J. Algebra, 421 :234259 [DOI] [Details] 

(2015)  'Integrality and arithmeticity of solvable linear groups'
Detinko, A. S. and Flannery, D. L. and de Graaf, W. A. (2015) 'Integrality and arithmeticity of solvable linear groups'. J. Symbolic Comput, 68 (part 1):138145 [DOI] [Details] 

(2015)  'On linear shift representations'
Flannery, D. L. and Egan, R. (2015) 'On linear shift representations'. J. Pure Appl. Algebra, 219 (8):34823494 [DOI] [Details] 

(2013)  'Recognizing finite matrix groups over infinite fields'
Detinko, AS,Flannery, DL,O'Brien, EA (2013) 'Recognizing finite matrix groups over infinite fields'. Journal Of Symbolic Computation, 50 :100109 [DOI] [Details] 

(2013)  'Algorithms for linear groups of finite rank'
A. S. Detinko, D. L. Flannery, E. A. O'Brien (2013) 'Algorithms for linear groups of finite rank'. Journal Of Algebra, 393 :187196 [Details] 

(2011)  'Computing with matrix groups over infinite fields'
DETINKO, A.S., EICK, B., FLANNERY, D. (2011) 'Computing with matrix groups over infinite fields'. LMS LECTURE NOTE SERIES, 387 (3):256270 [Details] 

(2011)  'Algorithms for the Tits alternative and related problems'
Detinko, AS,Flannery, DL,O'Brien, EA (2011) 'Algorithms for the Tits alternative and related problems'. Journal Of Algebra, 344 :397406 [DOI] [Details] 

(2010)  'Group algebra series and coboundary modules'
Lebel, A,Flannery, DL,Horadam, KJ (2010) 'Group algebra series and coboundary modules'. Journal Of Pure And Applied Algebra, 214 :12911300 [DOI] [Details] 

(2010)  'Guest editorial for the special issue on design theory'
FLANNERY, D., HORADAM, K. (2010) 'Guest editorial for the special issue on design theory'. Cryptography and Communication, 2 (2):127128 [Details] 

(2009)  'Deciding finiteness of matrix groups in positive characteristic'
Detinko, AS,Flannery, DL,O'Brien, EA (2009) 'Deciding finiteness of matrix groups in positive characteristic'. Journal Of Algebra, 322 :41514160 [DOI] [Details] 

(2009)  'On deciding fiteness of matrix groups'
Detinko, A.S., Horadam, K.J. (2009) 'On deciding fiteness of matrix groups'. Journal of Symbolic Computation, 44 :10371043 [Details] 

(2008)  'Periodic subgroups of projective linear groups in positive characteristic'
Detinko, AS,Flannery, DL (2008) 'Periodic subgroups of projective linear groups in positive characteristic'. Central European Journal Of Mathematics, 6 :384392 [DOI] [Details] 

(2008)  'Algorithms for computing with nilpotent matrix groups over infinite domains'
Detinko, AS,Flannery, DL (2008) 'Algorithms for computing with nilpotent matrix groups over infinite domains'. Journal Of Symbolic Computation, 43 :826 [DOI] [Details] 

(2006)  'Computing in nilpotent matrix groups'
DETINKO, A.S., FLANNERY, D. (2006) 'Computing in nilpotent matrix groups'. LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 9 (3):104134 [Details] 

(2006)  'Corrigendum to ``Locally nilpotent linear groups'' [Irish Math. Soc. Bull. No. 56 (2005), 3751; MR2232095]'
Detinko, A. S. and Flannery, D. L. (2006) 'Corrigendum to ``Locally nilpotent linear groups'' [Irish Math. Soc. Bull. No. 56 (2005), 3751; MR2232095]'. Irish Math. Soc. Bull, (57) [Details] 

(2005)  'Nilpotent primitive linear groups over finite fields'
Detinko, AS,Flannery, DL (2005) 'Nilpotent primitive linear groups over finite fields'. Communications In Algebra, 33 :497505 [DOI] [Details] 

(2005)  'Linear groups of small degree over finite fields'
Flannery, DL,O'Brien, EA (2005) 'Linear groups of small degree over finite fields'. International Journal Of Algebra And Computation, 15 :467502 [Details] 

(2005)  'Irreducible linear groups of small degree over finite fields'
FLANNERY, D., O'Brien, E.A. (2005) 'Irreducible linear groups of small degree over finite fields'. International Journal of Algebra and Computation, 15 (3):467502 [Details] 

(2005)  'Locally nilpotent linear groups'
DETINKO, A.S., FLANNERY, D. (2005) 'Locally nilpotent linear groups'. IRISH MATHEMATICAL SOCIETY BULLETIN, (56):3751 [Details] 

(2004)  'Classification of nilpotent primitive linear groups over finite fields'
Detinko, AS,Flannery, DL (2004) 'Classification of nilpotent primitive linear groups over finite fields'. Glasgow Mathematical Journal, 46 :585594 [DOI] [Details] 

(2004)  'Irreducible monomial linear groups of degree four over finite fields'
Flannery, DL (2004) 'Irreducible monomial linear groups of degree four over finite fields'. International Journal Of Algebra And Computation, 14 :253294 [Details] 

(2000)  'Computing 2cocycles for central extensions and relative difference sets'
Flannery, DL,O'Brien, EA (2000) 'Computing 2cocycles for central extensions and relative difference sets'. Communications In Algebra, 28 :19391955 [Details] 

(2000)  'Cocyclic Hadamard matrices and difference sets'
de Launey, W., Horadam, K.J. (2000) 'Cocyclic Hadamard matrices and difference sets'. Discrete and Applied Mathematics, 102 :4761 [Details] 

(1999)  'The finite irreducible monomial linear groups of degree 4'
Flannery, DL (1999) 'The finite irreducible monomial linear groups of degree 4'. Journal Of Algebra, 218 :436469 [Details] 

(1997)  'The finite irreducible linear $2$groups of degree $4$'
Flannery, D. L. (1997) 'The finite irreducible linear $2$groups of degree $4$'. Mem. Amer. Math. Soc, 129 (613) [DOI] [Details] 

(1997)  'Cocyclic Hadamard matrices and Hadamard groups are equivalent'
FLANNERY, D. (1997) 'Cocyclic Hadamard matrices and Hadamard groups are equivalent'. Journal of Algebra, 192 :749779 [Details] 

(1996)  'Calculation of cocyclic matrices'
FLANNERY, D. (1996) 'Calculation of cocyclic matrices'. Journal of Pure and Applied Algebra, 112 :181190 [Details] 

(1995)  'Transgression and the calculation of cocyclic matrices'
FLANNERY, D. (1995) 'Transgression and the calculation of cocyclic matrices'. Australasian Journal of Combinatorics, 11 :6778 [Details] 

(1994)  'Submodule lattices of direct sums'
FLANNERY, D. (1994) 'Submodule lattices of direct sums'. Communications in Algebra, 22 (10):40674087 [Details] 

(1981)  'Some finite groups which are rarely automorphism groups. I'
FLANNERY, D,MACHALE, D (1981) 'Some finite groups which are rarely automorphism groups. I'. Proceedings Of The Royal Irish Academy Section AMathematical And Physical Sciences, 81 :209215 [Details] 
Books
Year  Publication  

(2011)  Algebraic design theory, Mathematical Surveys and Monographs. American Mathematical Society.
FLANNERY, D., de Launey, W. (2011) Algebraic design theory, Mathematical Surveys and Monographs. American Mathematical Society. Providence, Rhode Island: American Mathematical Society. [Details] 

(1997)  The finite irreducible linear 2groups of degree 4. Memoirs of the American Mathematical Society.
Flannery, D. (1997) The finite irreducible linear 2groups of degree 4. Memoirs of the American Mathematical Society. [Details] 
Book Chapters
Year  Publication  

(2015)  'Classifying cocyclic Butson Hadamard matrices'
Egan, Ronan and Flannery, Dane and \'O Cath\'ain, Padraig (2015) 'Classifying cocyclic Butson Hadamard matrices' In: Springer, Cham. [Details] 

(2011)  'Computing with matrix groups over infinite fields'
Detinko, A. S. and Eick, B. and Flannery, D. L. (2011) 'Computing with matrix groups over infinite fields' In: Cambridge Univ. Press, Cambridge. [Details] 
Conference Publications
Year  Publication  

(2015)  Classifying Cocyclic Butson Hadamard Matrices
Egan, R,Flannery, D,Cathain, PO,Colbourn, CJ (2015) ALGEBRAIC DESIGN THEORY AND HADAMARD MATRICES, ADTHM Classifying Cocyclic Butson Hadamard Matrices , pp.93106 [DOI] [Details] 

(2011)  Computational Group Theory, Oberwolfach Reports, Volume 8, Issue 3
DETINKO, A., FLANNERY, D. (2011) Computing with matrix groups over infinite fields Computational Group Theory, Oberwolfach Reports, Volume 8, Issue 3 Mathematisches Forschungsinstitut Oberwolfach, , pp.21182121 [DOI] [Details] 

(2008)  The 11th RhineWorkshop on Computer Algebra, Levico Terme
FLANNERY, D., Detinko, A.S. (2008) Computing with matrix groups over infinite domains: deciding finiteness The 11th RhineWorkshop on Computer Algebra, Levico Terme [Details] 
Edited Books
Year  Publication  

(2013)  Probabilistic group theory, combinatorics, and computing.
A. S. Detinko, D. L. Flannery, E. A. O'Brien (Ed.). (2013) Probabilistic group theory, combinatorics, and computing Probabilistic group theory, combinatorics, and computing. Berlin: Springer. [Details] 
Computer Program
Year  Publication  

(2013)  Infinite: a Magma package.
A. S. Detinko, D. L. Flannery, E. A. O'Brien (2013) Infinite: a Magma package. Computer Program [Details] 

(2007)  Refereed GAP4 package 'Nilmat'.
Flannery, D., Detinko, A.S., Eick, B. (2007) Refereed GAP4 package 'Nilmat'. Computer Program [Details] 

(2005)  Two suites of procedures available as part of the computer algebra system MAGMA, for (i) computing central extensions of finite groups; and (ii) listing the irreducible linear groups of degree less than 4 over finite fields.
D. L. Flannery, E. A. O'Brien (2005) Two suites of procedures available as part of the computer algebra system MAGMA, for (i) computing central extensions of finite groups; and (ii) listing the irreducible linear groups of degree less than 4 over finite fields. Computer Program [Details] 
Conference Paper
Year  Publication  

(2007)  On shift representations.
FLANNERY, D. (2007) On shift representations. Conference Paper [Details] 
Editorial
Year  Publication  

(2013)  Probabilistic Group Theory, Combinatorics, and Computing Lectures from the Fifth de Brun Workshop Preface.
Detinko, A,Flannery, D,OBrien, E (2013) Probabilistic Group Theory, Combinatorics, and Computing Lectures from the Fifth de Brun Workshop Preface. Editorial [Details] 

(2010)  Editorial for the Special Issue on Design Theory, Cryptography and Communications: Discrete Structures, Boolean Functions and Sequences.
D. L. Flannery, K. J. Horadam (2010) Editorial for the Special Issue on Design Theory, Cryptography and Communications: Discrete Structures, Boolean Functions and Sequences. Editorial [Details] 

(2010)  Special Issue on Design Theory, Cryptography and Communications: Discrete Structures, Boolean Functions and Sequences.
D. L. Flannery, K. J. Horadam (2010) Special Issue on Design Theory, Cryptography and Communications: Discrete Structures, Boolean Functions and Sequences. Editorial [Details] 

(2005)  Groups in Galway 2005 Proceedings.
D. L. Flannery (2005) Groups in Galway 2005 Proceedings. Editorial [Details] 
Film or Broadcast
Year  Publication  

(2011)  Video interview of Professor Cheryl Praeger.
A. S. Detinko, D. L. Flannery, C. E. Praeger (2011) Video interview of Professor Cheryl Praeger. Film or Broadcast [Details] 
Guest Lectures
Year  Publication  

(2007)  Cocyclic development of pairwise combinatorial designs.
FLANNERY, D. (2007) Cocyclic development of pairwise combinatorial designs. University of Trento: Guest Lectures [Details] 

(2007)  Algorithms for computing with nilpotent matrix groups over infinite domains.
FLANNERY, D. (2007) Algorithms for computing with nilpotent matrix groups over infinite domains. Queen's University, Belfast: Guest Lectures [Details] 

(2006)  Cocyclic combinatorial designs.
FLANNERY, D. (2006) Cocyclic combinatorial designs. Technische Universit¨at Braunschweig: Guest Lectures [Details] 
Invited Lectures
Year  Publication  

(2011)  Algebraic Design Theory.
D. L. Flannery (2011) Algebraic Design Theory. Invited Lectures [Details] 

(2011)  Computing with finitely generated linear groups.
D. L. Flannery (2011) Computing with finitely generated linear groups. Invited Lectures [Details] 

(2009)  Algebra in Design Theory.
D. L. Flannery (2009) Algebra in Design Theory. Invited Lectures [Details] 

(2009)  Deciding finiteness of matrix groups.
D. L. Flannery (2009) Deciding finiteness of matrix groups. Invited Lectures [Details] 

(2009)  Deciding finiteness of matrix groups over arbitrary domains.
FLANNERY, D. (2009) Deciding finiteness of matrix groups over arbitrary domains. NUI, Galway: Invited Lectures [Details] 

(2008)  Group actions on pairwise combinatorial designs.
FLANNERY, D. (2008) Group actions on pairwise combinatorial designs. Invited Lectures [Details] 
Invited Seminars
Year  Publication  

(2012)  Algebra in Design Theory.
D. L. Flannery (2012) Algebra in Design Theory. Invited Seminars [Details] 
Reviews
Year  Publication  

(2013)  20 article reviews, Mathematical Reviews, American Mathematical Society.
D. L. Flannery (2013) 20 article reviews, Mathematical Reviews, American Mathematical Society. Reviews [Details] 
Working Paper
Year  Publication  

(2013)  Computing with linear groups of finite rank.
A. S. Detinko, D. L. Flannery, E. A. O'Brien (2013) Computing with linear groups of finite rank. Working Paper [Details] 

(2013)  Effective computation with arithmetic groups satisfying the congruence subgroup property.
A. S. Detinko, D. L. Flannery (2013) Effective computation with arithmetic groups satisfying the congruence subgroup property. Working Paper [Details] 
Internal Collaborators
Name  Description of Collaboration  

Internal Collaborators 
External Collaborators
Name  Organisation / Institute  Country  Description of Collaboration  

External Collaborators 