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Results tagged with rt.representation-theory
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user 17734
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
6
votes
Group rings over central products
I don't have a reference, but the proof is routine so that the result should be well-known. Also note that $H, K$ don't need be finite.
For a proof first note that if $H, K$ are subgroups of $G$ and …
- 2,019
4
votes
0
answers
167
views
For $P$ $\mathbb{Z}G$-projective, $\mathbb{Q}\otimes P$ is $\mathbb{Q}G$-free
I'm looking for a proof of a theorem of Swan [1, Theorem 3]:
If $G$ is a finite group and $P$ a finitely generated projective $\mathbb{Z}G$-module, then $\mathbb{Q}\otimes_\mathbb{Z}P$ is a free …
- 2,019
4
votes
A table for irreducible integral representation of finite cyclic groups
For cyclic groups $C_p$ of prime order $p$ the irreducible integral representations are known (I don't know if there are results for cyclic groups of composite order but it's likely since the result f …
- 2,019