: Hulpke, Alexander/ Penttila, Tim/ Seress, Ákos
: Alexander Hulpke, Robert Liebler, Tim Penttila, Akos Seress
: Finite Geometries, Groups, and Computation Proceedings of the Conference 'Finite Geometries, Groups, and Computation', Pingree Park, Colorado, USA, September 4-9, 2004
: Walter de Gruyter GmbH& Co.KG
: 9783110199741
: De Gruyter Proceedings in Mathematics
: 1
: CHF 257.30
:
: Allgemeines, Lexika
: English
: 286
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

This volume is the proceedings of a conference on Finite Geometries, Groups, and Computation that took place on September 4-9, 2004, at Pingree Park, Colorado (a campus of Colorado State University). Not accidentally, the conference coincided with the 60th birthday of William Kantor, and the topics relate to his major research areas.

Participants were encouraged to explore the deeper interplay between these fields. The survey papers by Kantor, O'Brien, and Penttila should serve to introduce both students and the broader mathematical community to these important topics and some of their connections while the volume as a whole gives an overview of current developments in these fields.



Alexander HulpkeandRobert Liebler, Colorado State University, Fort Collins, USA;Tim Penttila, University of Western Australia, Crawley, Australia;Ákos Seress, The Ohio State University, Columbus, USA.

Frontmatter1
Contents7
A reduction algorithm for matrix groups with an extraspecial normal subgroup9
A group theoretic approach to (0, 2)-geometries25
Efficient presentations for the Mathieu simple group M22 and its cover41
On the uniqueness of the unipotent subgroups of some Moufang sets51
Symmetric rank 3 designs with regular, elementary abelian, normal subgroups75
On minimal subdegrees of finite primitive permutation groups83
Computing with elation groups103
Finite semifields111
Constructions of quasiprimitive two-arc transitive graphs of product action type123
Symplectic translation planes of even order133
Structural properties of Hadamard designs149
On projective planes of order less than 32157
Towards effective algorithms for linear groups171
Finite groups that admit Kantor families199
Applications of computer algebra to finite geometry211
Finite translation generalized quadrangles: old results, new results, open problems231
On affine designs and GMW difference sets245
Dimensional dual arcs – a survey255
Backmatter275