Parametric 2-Decompositions in Complete Linear Groups of Small Order Over a Field

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-08-16 DOI:10.1007/s11253-024-02323-w

Volodymyr Shchedryk

引用次数: 0

Abstract

We obtain a parametric description of elements of complete linear groups of the second and third orders over an arbitrary field. It is based on their canonical (single-valued) representation as a product of elements from the commutators of certain Jordan matrices and representatives of the left cosets of these groups.

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域上小阶完全线性群中的参数二分解

我们获得了对任意域上二阶和三阶完全线性群元素的参数描述。它基于这些群的典型（单值）表示，即来自某些约旦矩阵的换元的元素与这些群的左余弦代表的乘积。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.