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On sse-embedded subgroups of finite groups
Authors:Jinbao Li
Institution:Department of Mathematics, Chongqing University of Arts and Sciences, Chongqing, China
Abstract:Abstract

In this paper, we introduce the concept of sse-embedded subgroups of finite groups and present some new characterizations of solubility of finite groups using the sse-embedding property of subgroups. Furthermore, we discuss the sse-embedded subgroups in finite nonabelian simple groups. Some previously known results are generalized and unified.
Keywords:Finite groups  simple groups  soluble groups  sse-embedded subgroups
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