Characters of algebra groups and unitriangular groups

Chapters in this book

1. Frontmatter i
2. Table of contents xiii
3. On a question of Farjoun 1
4. Extensions for finite groups of Lie type: twisted groups 29
5. On the classifying space and cohomology of Thompson’s sporadic simple group 47
6. New versions of Schur–Weyl duality 59
7. Just infinite periodic Lie algebras 73
8. On the Schur indices of cuspidal unipotent characters 87
9. An extension of Thompson’s Replacement Theorem by algebraic group methods 105
10. Simple connectedness of the geometry of nondegenerate subspaces of a symplectic space over arbitrary fields 111
11. Classification of 2F-modules, II 117
12. On the real Schur indices associated with infinite Coxeter groups 185
13. Some observations on products of characters of finite classical groups 195
14. The number of finite p-groups with bounded number of generators 209
15. Enumerating highly non-soluble groups 219
16. 3-Signalizers in almost simple groups 229
17. Classifying character degree graphs with 5 vertices 247
18. Heights of characters and defect groups 267
19. Problems on characters and Sylow subgroups 275
20. Ovals in finite projective planes via the representation theory of the symmetric group 283
21. Rank invariance and automorphisms of generalized Kac-Moody superalgebras 291
22. Bounding numbers and heights of characters in p-constrained groups 307
23. Classification of buildings 319
24. Characters of algebra groups and unitriangular groups 335
25. The signalizer method 351
26. Classical groups in dimension 5 which are Hurwitz 363
27. A classification of Weyl groups as finite {3, 4}-transposition groups 373
28. Powerful subgroups of 2-groups 381
29. Regular orbits of induced modules of finite groups 389
30. Radical subgroups and p-local ranks 401
31. Backmatter 407