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Results tagged with rt.representation-theory
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user 31883
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
2
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0
answers
147
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Cohomologically trivial modules over finite $p$-groups
Let $A$ be a finitely generated $\mathbb{Z}_pG$-module, where $G$ is a finite $p$-group and $\mathbb{Z}_p$ is the ring of $p$-adic integers; assume moreover that $A$ is cohomologically trivial, that i …
1
vote
The rank of indecomposable finite abelian 2-group
No, the rank of $G$ could be arbitrary large. Here is a counter-example that works for all primes $p$. Fix a positive integer $n$, and let $G$ be the direct sum of $n$ copies of $\mathbb{Z}/p^2\mathb …