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Results tagged with finite-groups
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user 22810
Questions on group theory which concern finite groups.
10
votes
2
answers
401
views
A finite group $G$ all of whose reps are defined over $\mathbb{Z}$ and yet $Rep(G)$ is not g...
Let $G$ be a finite group and let $Rep(G)$ be its representation ring (as a group it is the free $\mathbb{Z}$-module on the irreducible complex reps). The collection of permutation representations $\m …
- 12.9k
6
votes
0
answers
303
views
Geometric interpretation of a formula for the induced character (fix point localization?)
Let $H < G$ be a subgroup of a finite group $G$. Let $X:=G/H$ and $\mathcal{F} \in Sh_G(X)$ be an equivariant sheaf on $X$ (w.r.t. left multiplication) associated to a finite dimensional representatio …
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