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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

4 votes
1 answer
333 views

Representations of p-groups where 1 is never an eigenvalue

Fix some $n \geq 1$ and some prime $p$. I'm looking for finite $p$-groups $G$ and finite-dimensional complex representations $V$ of $G$ with the following two properties: The abelianization of $G$ …