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What is Generalized Group Identities of Subnormal Subgroups of General Linear Groups about?

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.

Author

Bien, Mai Hoang

Published

2014

Language

EN