论文标题

一般线性群的换向器长的偏斜场

Commutator lengths in general linear group over a skew-field

论文作者

Gvozdevsky, Pavel

论文摘要

我们根据基于偏压率的偏斜式元素的基本亚组的非中心子组的最大换向器长度给出了上下估计值,该估计值基于偏压型组的最大换向器长度的偏压场长度。

We give an upper and lower estimate for the maximal commutator length of a noncentral element of the elementary subgroup of the general linear group over a skew-field based on the maximal commutator length of an element of the multiplicative group of that skew-field.

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