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Results tagged with finite-groups
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user 126667
Questions on group theory which concern finite groups.
49
votes
1
answer
8k
views
Order of an automorphism of a finite group
Let G be a finite group of order n. Must every automorphism of G have order less than n?
(David Speyer: I got this question from you long ago, but I don't know whether you knew the answer. I stil d …
- 25.2k
31
votes
Is every finite group a group of "symmetries"?
Here's a sketch of an ugly argument. First construct an undirected graph whose automorphism group is G. You can do this by starting with a vertex vg for each element g of G and gluing in a path of l …
- 25.2k