Finite groups with a splitting automorphism of odd order

被引：4

作者：

Ersoy, Kivanc ^{[1
]}

机构：

[1] Mimar Sinan Fine Arts Univ, Dept Math, TR-34427 Istanbul, Turkey

来源：

ARCHIV DER MATHEMATIK | 2016年 / 106卷 / 05期

关键词：

Splitting automorphism; Finite simple group; Locally finite group; Centralizer;

D O I：

10.1007/s00013-016-0874-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that a finite group with a splitting automorphism of odd order is solvable. By using this result, we prove that a locally finite group with a splitting automorphism of odd order is locally solvable.

引用

页码：401 / 407

页数：7

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