Periodic groups whose simple modules have finite central endomorphism dimension

Snider, Robert

doi:10.1090/S0002-9939-06-08438-3

Periodic groups whose simple modules have finite central endomorphism dimension
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Proc. Amer. Math. Soc. 134 (2006), 3485-3486 Request permission

Abstract:

Theorem. If $k$ is an uncountable field and $G$ is a periodic group with no elements of order the characteristic of $k$ and if all simple $k[G]$ modules have finite central endomorphism dimension, then $G$ has an abelian subgroup of finite index.

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