正则子群，幂零代数和射影同余矩阵

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2017-02-15 DOI:10.22108/IJGT.2017.21215

M. Pellegrini

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引用次数: 1

摘要

在本文中，我们强调了仿射群$AGL_n(F)$ $， $ $F$ a域$，$ $与维数$n$ $的共轭幂零代数$F$之间的联系。我们还描述了方阵的射影同余类的分类如何等价于特定形状的正则子群的分类。

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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Regular subgroups, nilpotent algebras and projectively congruent matrices

‎In this paper we highlight the connection between certain classes of regular subgroups of the affine group‎ ‎$AGL_n(F)$‎, ‎$F$ a field‎, ‎and associative nilpotent $F$-algebras of dimension $n$‎. ‎We also describe how the classification of projective congruence classes of square matrices is equivalent to the‎ ‎classification of regular subgroups of particular shape‎.

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.