Finite Geometries, Groups, and Computation
Description
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 60 th 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.
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Contents
A reduction algorithm for matrix groups with an extraspecial normal subgroup
A group theoretic approach to (0, 2)-geometries
Efficient presentations for the Mathieu simple group M22 and its cover
On the uniqueness of the unipotent subgroups of some Moufang sets
Symmetric rank 3 designs with regular, elementary abelian, normal subgroups
On minimal subdegrees of finite primitive permutation groups
Computing with elation groups
Finite semifields
Constructions of quasiprimitive two-arc transitive graphs of product action type
Symplectic translation planes of even order
Structural properties of Hadamard designs
On projective planes of order less than 32
Towards effective algorithms for linear groups
Finite groups that admit Kantor families
Applications of computer algebra to finite geometry
Finite translation generalized quadrangles: old results, new results, open problems
On affine designs and GMW difference sets
Dimensional dual arcs - a survey
Backmatter