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arXiv · 0801.4451

Antisymmetric Elements in Group Rings II

O. Broche·E. Jespers·C. Polcino Milies·M. Ruiz
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Abstract

Let $R$ be a commutative ring, $G$ a group and $RG$ its group ring. Let $\vp : RG\to RG$ denote the $R$-linear extension of an involution $\vp$ defined on $G$. An element $x$ in $RG$ is said to be $\vp$-antisymmetric if $\vp (x) = -x$. A characterization is given of when the $\vp$-antisymmetric elements of $RG$ commute. This is a completion of earlier work.

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O. Broche, E. Jespers, C. Polcino Milies, M. Ruiz. 2008-01-29. Antisymmetric Elements in Group Rings II. https://arxiv.org/abs/0801.4451

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