On products of conjugacy classes in general linear groups

Let $K$ be a field and $n\geq 3$. Let $E_n(K)\leq H\leq GL_n(K)$ be an intermediate group and $C$ a noncentral $H$-class. Define $m(C)$ as the minimal positive integer $m$ such that $\exists i_1,\ldots,i_m\in\{\pm 1\}$ such that the product $C^{i_1}\cdots C^{i_m}$ contains all nontrivial elementary...

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Bibliographic Details
Main Author: Raimund Preusser
Format: Article
Language:English
Published: University of Isfahan 2022-12-01
Series:International Journal of Group Theory
Subjects:
Online Access:https://ijgt.ui.ac.ir/article_26036_36aaaeb1e50575a14d9de67d71f69ab6.pdf