Frontiers of Mathematics in China >

2010 , Vol. 5 >Issue 2: 287 - 295

DOI: https://doi.org/10.1007/s11464-010-0006-8

Research articles

On g-s-supplemented subgroups of finite groups

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  • 1.Department of Mathematics, University of Science and Technology of China, Hefei 230026, China；Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China; 2.Mathematics and Information Engineering Department, Anyang Normal University, Anyang 455000, China；Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China; 3.Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China;

Published date: 05 Jun 2010

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Abstract

A subgroup H of a group G is said to be g-s-supplemented in G if there exists a subgroup K of G such that HK ⊴ G and H ∩ K≤HsG, where HsG is the largest s-permutable subgroup of G contained in H. By using this new concept, we establish some new criteria for a group G to be soluble.

Key words： Finite group; g-s-supplemented subgroup; Sylow subgroup; soluble group

Cite this article

Wenbin GUO, Fengyan XIE, Yi LU, . On g-s-supplemented subgroups of finite groups[J]. Frontiers of Mathematics in China, 2010 , 5(2) : 287 -295 . DOI: 10.1007/s11464-010-0006-8

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