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arXiv · 1805.01218

Skew-Symmetric Elements of Rational Group Algebras

Dishari Chaudhuri
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Abstract

Let $RG$ be the group ring of a finite group $G$ over a commutative ring $R$ with $1$. An element $x$ in $RG$ is said to be skew-symmetric with respect to an involution $\sigma$ of $RG$ if $\sigma(x)=-x.$ A structure theorem for the skew-symmetric elements of $FG$ is given where $F$ is an algebraic extension of $\mathbb{Q}$ which generalizes some previously known results in this direction.

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Dishari Chaudhuri. 2018-05-03. Skew-Symmetric Elements of Rational Group Algebras. https://arxiv.org/abs/1805.01218

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