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Questions on group theory which concern finite groups.

49 votes
Accepted

Order of an automorphism of a finite group

Yes every automorphism has order bounded by |G|-1, provided G is not the trivial group. A reference is M V Horoševskiĭ 1974 Math. USSR Sb. 22 584-594 which can be found at http://www.iop.org/EJ/abstra …
Greg Stevenson's user avatar
4 votes
Accepted

Tate Cohomology via stable categories

To address Hanno's question about checking that composition gives a graded-commutative ring structure on $End^{*}(\mathbb{Z}) = \oplus_i [\mathbb{Z}, \Omega^{-i} \mathbb{Z}]$ suppose first that $a \st …
Greg Stevenson's user avatar