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Some new examples in 1-cohomology

✍ Scribed by Leonard L Scott

Book ID
104140530
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
100 KB
Volume
260
Category
Article
ISSN
0021-8693

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✦ Synopsis

This paper gives some new examples in the 1-cohomology theory of finite groups of Lie type, obtained from both computer calculations and the use of several theoretical results. In particular, the paper gives the first known examples of 1-cohomology groups of dimension greater than 2 for absolutely irreducible faithful modules of a finite group. The computer calculations were made originally while checking special cases of Lusztig's conjecture on characteristic p representations of algebraic groups, and we take this opportunity to announce in print some results in that direction. (They reinforce Lusztig's conjecture, even in a strong form suggested by Kato.)

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