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user 28104
For questions about the algebraic concept of 'character': a function from a group into a field satisfying certain properties. Not to be confused with the more commonly known psychological term.
4
votes
Groups of order $n$ with a character whose degree is at least $0.8\sqrt{n}$ (say)
The following is a list of all groups whose order is $\leq 1000$ and not equal to
one of $384, 768, 864, 896$ or $960$ which satisfy the condition in the title
of the question -- for each group we giv …
- 19.6k
3
votes
Accepted
Sum of irreducible complex character degrees for alternating groups
For small $n$, you can compute the sums of irreducible complex character degrees of ${\rm A}_n$ with GAP:
gap> sums := List([3..15],n->Sum(List(CharacterDegrees(AlternatingGroup(n)),Product)));
[ 3, …
- 19.6k