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.
Author(s): Alexander Hulpke; et al.
Series: [De Gruyter Proceedings in Mathematics]
Edition: 1st ed.
Publisher: Walter de Gruyter
Year: 2006
Language: English
Pages: 287
Preface......Page 6
A reduction algorithm for matrix groups with an extraspecial normal subgroup......Page 10
A group theoretic approach to (0, 2)-geometries......Page 26
Efficient presentations for the Mathieu simple group M22 and its cover......Page 42
On the uniqueness of the unipotent subgroups of some Moufang sets......Page 52
Symmetric rank 3 designs with regular, elementary abelian, normal subgroups......Page 76
On minimal subdegrees of finite primitive permutation groups......Page 84
Computing with elation groups......Page 104
Finite semifields......Page 112
Constructions of quasiprimitive two-arc transitive graphs of product action type......Page 124
Symplectic translation planes of even order......Page 134
Structural properties of Hadamard designs......Page 150
On projective planes of order less than 32......Page 158
Towards effective algorithms for linear groups......Page 172
Finite groups that admit Kantor families......Page 200
Applications of computer algebra to finite geometry......Page 212
Finite translation generalized quadrangles: old results, new results, open problems......Page 232
On affine designs and GMW difference sets......Page 246
Dimensional dual arcs – a survey......Page 256
List of participants......Page 276
List of contributors......Page 284
