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Results tagged with permutation-groups
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user 4354
For groups represented as permutations. Group transitivity, rank 3 groups, orbits and suborbits, stablizers, permutation characters, primitivity are all on-topic.
39
votes
An easy proof that $S(n)$ does not embed into $A(n+1)$?
I think the following is sufficiently elementary: a transposition in $S_n$ is an element of order 2 commuting with at least $2(n-2)!$ elements of the group. But $A_{n+1}$ does not have such an element …
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