Groups, Computing, Designs
Recent activities
publications
• 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
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, P. O'Catháin, International Workshop on
Hadamard Matrices and their Applications, RMIT University, Melbourne,
Australia, November 2011.
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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.
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details..
research visits
• 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.