On the regular Sylow p-subgroups of Chevalley groups over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathbb{Z}_{p^m } $$ \end{document}

被引：0

作者：

S. G. Kolesnikov

机构：

[1] Krasnoyarsk State University,

来源：

Siberian Mathematical Journal | 2006年 / 47卷 / 6期

关键词：

regular ; -group; powerful ; -group; Sylow ; -subgroup;

D O I：

10.1007/s11202-006-0114-6

中图分类号：

学科分类号：

摘要：

We prove that a Sylow p-subgroup of the general linear group of dimension n over the residue ring modulo pm is regular for n2 < p and powerful if and only if n = 2 and m = 1. We obtain similar results for the Sylow p-subgroups of normal types over the same ring.

引用

页码：1054 / 1059

页数：5

共 5 条

[1]

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[2]

Yagzhev A. V.(1994)Regularity of Sylow subgroups of the full linear groups over residue rings Mat. Zametki 56 106-116

[3]

Kolesnikov S. G.(2001)Regularity of Sylow Studies on Mathematical Analysis and Algebra 3 117-124

[4]

Stein M. R.(1971)-subgroups of the groups Amer. J. Math. 93 965-1004

[5]

Levchuk V. M.(1992)Generators, relations and covering of Chevalley groups over commutative rings Ukrain. Mat. Zh. 44 786-795

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