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arXiv · 1403.7496

Generalized group identities of subnormal subgroups of general linear groups

Mai Hoang Bien
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Abstract

Let $D$ be a division ring with infinite center, $n$ be a positive integer and $w(x_1,x_2,\cdots, x_m)=1$ be a generalized group identity over the general linear group $\GL_n(D)$. The aim of this paper is to prove that every subnormal subgroup of $GL_n(D)$ which satisfies the generalized group identity $w(x_1,x_2,\cdots, x_m)=1$ is central.

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Mai Hoang Bien. 2014-04-03. Generalized group identities of subnormal subgroups of general linear groups. https://arxiv.org/abs/1403.7496

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