Finite Geometries, Groups, and Computation: Proceedings of the Conference 'Finite Geometries, Groups, and Computation', Pingree Park, Colorado, USA, September 4-9, 2004

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Finite Geometries, Groups, and Computation

Proceedings of the Conference 'Finite Geometries, Groups, and Computation', Pingree Park, Colorado, USA, September 4-9, 2004

Edited by: Alexander Hulpke , Robert Liebler , Tim Penttila and Akos Seress

Language: English

Published/Copyright: 2006

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De Gruyter Proceedings in Mathematics

About this book

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.

Author / Editor information

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

Topics

Frontmatter Requires Authentication Unlicensed Licensed	i
Contents Requires Authentication Unlicensed Licensed	vii
A reduction algorithm for matrix groups with an extraspecial normal subgroup P. Brooksbank, A. C. Niemeyer and Á. Seress Requires Authentication Unlicensed Licensed	1
A group theoretic approach to (0, 2)-geometries M. R. Brown, C. Tonesi and H. Maldeghem Requires Authentication Unlicensed Licensed	17
Efficient presentations for the Mathieu simple group M22 and its cover M. Conder, G. Havas and C. Ramsay Requires Authentication Unlicensed Licensed	33
On the uniqueness of the unipotent subgroups of some Moufang sets T. Medts, F. Haot, R. Knop and H. Maldeghem Requires Authentication Unlicensed Licensed	43
Symmetric rank 3 designs with regular, elementary abelian, normal subgroups U. Dempwolff Requires Authentication Unlicensed Licensed	67
On minimal subdegrees of finite primitive permutation groups M. Giudici, C. H. Li, C. E. Praeger, Á. Seress and V. Trofimov Requires Authentication Unlicensed Licensed	75
Computing with elation groups G. Havas, C. R. Leedham-Green, E. A. O’Brien and M. C. Slattery Requires Authentication Unlicensed Licensed	95
Finite semifields W. M. Kantor Requires Authentication Unlicensed Licensed	103
Constructions of quasiprimitive two-arc transitive graphs of product action type C. H. Li and Á. Seress Requires Authentication Unlicensed Licensed	115
Symplectic translation planes of even order A. Maschietti Requires Authentication Unlicensed Licensed	125
Structural properties of Hadamard designs E. Merchant Requires Authentication Unlicensed Licensed	141
On projective planes of order less than 32 G. E. Moorhouse Requires Authentication Unlicensed Licensed	149
Towards effective algorithms for linear groups E. A. O’Brien Requires Authentication Unlicensed Licensed	163
Finite groups that admit Kantor families S. E. Payne Requires Authentication Unlicensed Licensed	191
Applications of computer algebra to finite geometry T. Penttila Requires Authentication Unlicensed Licensed	203
Finite translation generalized quadrangles: old results, new results, open problems J. A. Thas and K. Thas Requires Authentication Unlicensed Licensed	223
On affine designs and GMW difference sets V. D. Tonchev Requires Authentication Unlicensed Licensed	237
Dimensional dual arcs – a survey S. Yoshiara Requires Authentication Unlicensed Licensed	247
Backmatter Requires Authentication Unlicensed Licensed	267

Publishing information

Pages and Images/Illustrations in book

eBook published on:

August 22, 2008

eBook ISBN:

9783110199741

Hardcover published on:

March 15, 2006

Hardcover ISBN:

9783110182200

Pages and Images/Illustrations in book

Front matter:

8

Main content:

278

https://doi.org/10.1515/9783110199741

eBook ISBN: 9783110199741

Hardcover ISBN: 9783110182200

Keywords for this book

Finite geometries; finite groups

Audience(s) for this book

Research mathematicians, in particular geometers, and computational group theorists; academic libraries

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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Finite Geometries, Groups, and Computation

Overview

About this book

Author / Editor information

Topics

Table of contents

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