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Results tagged with finite-groups
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user 310
Questions on group theory which concern finite groups.
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 …
- 8,681
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 …
- 8,681