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Results tagged with gr.group-theory
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user 310
Questions about the branch of algebra that deals with 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 …
- 8,681
2
votes
Separators in the Category of Groups
It is the minimal separator in the sense that it corepresents the forgetful functor Grp $\rightarrow$ Set, but this uses sets so probably isn't what you are after. In fact it is the same as the statem …
- 8,681
5
votes
When does "splits" imply "cosplits"?
So the fact that you had a hard time thinking of cosplit sequences of groups and the last question got me thinking (along the lines of Joel's comment actually)... what I came up with is probably stand …
- 8,681
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