On the traces of the product of 2 linear similarity classes

Fuente: arXiv
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1. Verfasser: Nielsen, Klaus
Format: Preprint
Veröffentlicht: 2026
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author Nielsen, Klaus
author_facet Nielsen, Klaus
contents It is shown that the product of two nonscalar conjugacy classes of the special linear group SL$(n,K)$ contains matrices of arbitrary trace if $n \ge 4$ and $K$ is an abitrary field or $n=3$ and $K$ is finite.
format Preprint
id arxiv_https___arxiv_org_abs_2605_20792
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the traces of the product of 2 linear similarity classes
Nielsen, Klaus
Group Theory
It is shown that the product of two nonscalar conjugacy classes of the special linear group SL$(n,K)$ contains matrices of arbitrary trace if $n \ge 4$ and $K$ is an abitrary field or $n=3$ and $K$ is finite.
title On the traces of the product of 2 linear similarity classes
topic Group Theory
url https://arxiv.org/abs/2605.20792