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On the 1-Cohomology of Finite Groups of Lie Type

✍ Scribed by Michael F. Dowd

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
169 KB
Volume
188
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

For each simply connected semisimple algebraic group G defined and split over the prime field ‫ކ‬ , we establish a uniform bound on n above which all of the first p Ž . cohomology groups with values in the simple modules for the finite group G n are Ž .

determined by those for the algebraic group G ‫ކ‬ . ᮊ 1997 Academic Press p * The author is indebted to Peter Sin, who worked out the details of the strategy of the Ž w x. proof for several particular cases of G and p cf. 7᎐9 and who encouraged me to generalize the result. 720

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