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Groups, Computing, Designs

Recent activities

publications

•   A. Detinko, D. Flannery, A. Hulpke 'Algorithms for arithmetic groups with the congruence subgroup property', Journal of Algebra, DOI: 10.1016/j.jalgebra.2014.08.027, (2014).
• A. Detinko, D. Flannery, W. de Graaf 'Integrality and arithmeticity of solvable linear groups', Journal of Symbolic Computation, DOI: 10.1016/j.jsc.2014.08.011, (2014).
•   A. Detinko, D. Flannery, E. O'Brien 'Algorithms for linear groups of finite rank', Journal of Algebra, 393 (2013) 187–196.
•   A. Detinko, B. Eick, D. Flannery 'Computing with matrix groups over infinite fields', LMS Lecture Note Series, 387 (2011) 256-270.
• A. LeBel, D. Flannery, K. Horadam 'Group algebra series and coboundary modules', Journal of Pure and Applied Algebra, 214 (2010) 1291-1300.
• T. Rossmann, B. Eick 'Periodicities for graphs of p-groups beyond coclass', Contemporary Mathematics, 511:11-23, 2010.
• P. O'Catháin, R.M. Stafford 'On twin prime power Hadamard matrices', Cryptogr. Commun., 2(2):261-269, 2010.
• P. O'Catháin, M. Röder 'Classification of cocyclic Hadamard matrices of order less than 40', Des. Codes Cryptogr., 58(1):73-88, 2011.
• T. Rossmann 'Irreducibility testing of finite nilpotent linear groups', J.Algebra, 324:1114-1124, 2010.
• A. Detinko, D. Flannery, E. O'Brien 'Deciding finiteness of matrix groups in positive characteristic', Journal of Algebra, 322 (2009), no. 11, 4151-4160.
• A. Detinko, D. Flannery 'On deciding finiteness of matrix groups', Journal of Symbolic Computation, 44 (2009), no.1, 1037-1043.
• A. Detinko, D. Flannery 'Periodic subgroups of projective linear groups in positive characteristic', Central European Journal of Mathematics, 6 (2008), no. 3, 384-392.
• A. Detinko, D. Flannery 'Algorithms for computing with nilpotent matrix groups over infinite domains', Journal of Symbolic Computation, 43 (2008), no. 1, 8-26.
• A. Detinko, D. Flannery 'Computing in nilpotent matrix groups', LMS Journal of Computation and Mathematics, 9 (2006), 104-134.
• A. Detinko, D. Flannery, E. O'Brien ’Recognition of finite matrix groups over infinite fields’, Journal of Symbolic Computation
• A. Detinko, D. Flannery, E. O’Brien ’Algorithms for Tits alternative and related problems’, Journal of Algebra 344 (2011) 397–406.
• T. Rossmann ‘Primitivity testing of finite nilpotent groups’, LMS Journal of Computation and Mathematics, 14:87-98, 2011.

• A. Detinko, D. Flannery 'Computing with matrix groups over infinite fields', Mathematisches Forschungsinstitut Oberwolfach, Report No. 37/2011.
• P. Ó Catháin, 'Difference sets and doubly transitive actions on Hadamard matrices', Journal of Combinatorial Theory, Series A, Volume 119 (2012), Issue 6, 1235–1249.

• Book: W. de Launey, D. Flannery 'Algebraic Design Theory', Mathematical Surveys & Monographs, AMS. More details...

• D. Flannery, K. Horadam ‘Guest editorial for the special issue on design theory’ Cryptography and Communications, available here.

See also the special issue of ‘Cryptography and Communications’ on Design Theory here; information on ‘International Conference on Design Theory and Applications’ here

• D. Flannery is an editor for a special issue of Journal of Australian Mathematical Society dedicated to the memory of Laci Kovács.

phd Theses

• Tobias Rossman 'Algorithms for Nilpotent Linear groups', NUI Glaway, April 2011.
• Padraig O'Catháin 'Automorphisms of Pairwise Combinatorial Designs', NUI Galway, October 2011.

software

• A. Detinko, D. Flannery, E. O'Brien 'Matrix groups over infinite fields', Magma package, 2009. More details..
• T. Rossmann ' fwtree - computing trees related to some pro-p-groups of finite width', version 1.0 (with Bettina Eick), GAP package, 2009. More details..
• T. Rossmann 'finn - computing with finite nilpotent linear groups', Magma package, version: 0.57, 2011. More details..
• P. O'Catháin, Data library of cocyclic Hadamard matrices, Magma package, 2009. More details..
• A. Detinko, B. Eick, D. Flannery 'Nilmat: computing with nilpotent matrix groups over finite fields and field of rationals', GAP package, 2007. More details..

presentations

•   D. Flannery (co-organizer), Algebraic design theory with Hadamard matrices: applications, current trends and future directions, Banff International Research Station, 2014. More details..
•   R. Egan, Workshop on Algebraic Design Theory and Hadamard Matrices (ADTHM) 2014. More details..
•   D. Flannery, Workshop on Algebraic Design Theory and Hadamard Matrices (ADTHM) 2014. More details..
•   D. Flannery, Groups, Computation and Geometry (University of Colorado, USA). More details..
•   A. Detinko, Groups, Computation and Geometry (University of Colorado, USA). More details..
•   D. Flannery, Groups St Andrews 2013 (University of St Andrews, Scotland). More details..
•   A. Detinko, Groups St Andrews 2013 (University of St Andrews, Scotland). More details..
•   A. Detinko, Questions, Algorithms, and Computations in Abstract Group Theory, 2013 (TU Braunschweig, Germany). More details..
•   D. Flannery, P. O'Catháin, International Workshop on Hadamard Matrices and their Applications, RMIT University, Melbourne, Australia, November 2011. More details..
• P. O'Catháin, The 35th Australasian Conference on Combinatorial Mathematics & Combinatorial Computing (35ACCMCC), Monash University, Melbourne, Australia, December 2011. More details..
• A. Detinko, D. Flannery, T. Rossmann, Computational Group Theory, Mathematisches Forschungsinstitut Oberwolfach, Germany, August 2011. More details..
• T. Rossmann, Summer School in Algorithmic Mathematics, Berlin, Germany, August 2010. More details..
• A. Detinko, Combinatorics, Groups, Algorithms, and Complexity, The Ohio State University, USA, March 2010. More details..
• A. Detinko, Groups St Andrews, Bath, UK, August 2009. More details..
• D. Flannery, Matrix Group Recognition Workshop, ICMS, Edinburgh, UK , July 2009. More details..
• T. Rossmann, Matrix Group Recognition Workshop, ICMS, Edinburgh, UK , July 2009. More details..
• D. Flannery, British Mathematical Colloquium, Ireland, April 2009.
• P. O'Catháin, International Conference on Design Theory and Applications, Ireland, June 2009. More details..
• D. Flannery, International Conference on Design Theory and Applications, Ireland, June 2009. More details..
• A. Detinko, The 3rd de Brún Workshop in Computational Algebra, Ireland, December 2009. More details..
• A. Detinko, The 11th Rhine Workshop on Computer Algebra, 2008 Levico Terme, Italy, 2008. More details..

research visits

•   R. Craigen, visit to NUI Galway, August - September 2014. More details here.
•   T. Rossmann, visit to NUI Galway, September 2014.
•   E. O'Brien, visit to NUI Glaway, August 2014.
•   W. de Graaf, visit to NUI Galway, September 2013.
•   A. Detinko, D. Flannery, visit to the University of Western Australia, May/June 2012. More details here.
•   A. Detinko, D. Flannery, visit to University of Sydney, May 2012. More details here.
•   A. Detinko, D. Flannery, visit to University of Auckland, April 2012. More details here and here.
• K. Horadam, visit to NUI Galway, October 2011.
• E. O'Brien, visit to NUI Glaway, September 2011.
• D. Flannery, University of Auckland, New Zealand, February 2009: joint research with E. O’Brien; partially supported by Marsden Funds.
• D. Flannery, RMIT University, Information Theory and Security Research Group, Australia, November 2009; supported in part by the RMIT grant.
• T. Rossmann, TU Braunschweig, Germany, December 2008: joint work with Bettina Eick.
• P. O'Catháin, CCR, San Diego, USA, January 2009: joint research with W. de Launey.

School of Mathematics, Statistics and Applied Mathematics
National University of Ireland, Galway, University Road, Galway, Ireland.
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Fax: +353 (0)91 494542 Email: Mary.Kelly@nuigalway.ie
This page was last updated Thursday, October 02