A CHARACTERIZATION OF ALTERNATING GROUPS BY ORDERS OF SOLVABLE SUBGROUPS

Author:

BI JIANXING1,LI XIANHUA2

Affiliation:

1. Department of Mathematics, Liaoning University, Shenyang, 110036, People's Republic of China

2. Department of Mathematics, Suzhou University, Suzhou, 215006, People's Republic of China

Abstract

In this paper, we prove that a finite group G is isomorphic to the alternating group An with n≥5 if and only if they have the same set of the orders of solvable subgroups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups;Ukrainian Mathematical Journal;2014-11

2. z-permutable subgroups and p-nilpotency of finite groups;Journal of Pure and Applied Algebra;2005-11

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