A group theoretic approach to (0, 2)-geometries

Chapters in this book

1. Frontmatter i
2. Contents vii
3. A reduction algorithm for matrix groups with an extraspecial normal subgroup 1
4. A group theoretic approach to (0, 2)-geometries 17
5. Efficient presentations for the Mathieu simple group M22 and its cover 33
6. On the uniqueness of the unipotent subgroups of some Moufang sets 43
7. Symmetric rank 3 designs with regular, elementary abelian, normal subgroups 67
8. On minimal subdegrees of finite primitive permutation groups 75
9. Computing with elation groups 95
10. Finite semifields 103
11. Constructions of quasiprimitive two-arc transitive graphs of product action type 115
12. Symplectic translation planes of even order 125
13. Structural properties of Hadamard designs 141
14. On projective planes of order less than 32 149
15. Towards effective algorithms for linear groups 163
16. Finite groups that admit Kantor families 191
17. Applications of computer algebra to finite geometry 203
18. Finite translation generalized quadrangles: old results, new results, open problems 223
19. On affine designs and GMW difference sets 237
20. Dimensional dual arcs – a survey 247
21. Backmatter 267