The maximal quotient ring of regular group rings. II

Cedó, Ferran

doi:10.1090/S0002-9939-1988-0962798-8

The maximal quotient ring of regular group rings. II
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Proc. Amer. Math. Soc. 104 (1988), 357-362 Request permission

Abstract:

Let $K$ be a commutative field. Let $G$ be a locally finite group without elements of order $p$ in case char $K = p > 0$. In this paper it is proved that for some large classes of groups $G$ ($\Delta$-hypercentral, residually finite and groups satisfying Min-$q$ for all primes $q$) the Type ${{\text {I}}_\infty }$ part of the maximal quotient ring of the group ring $K[G]$ is zero.

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