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Sub-Cover-Avoidance Properties and the Structure of Finite Groups

Sub-Cover-Avoidance Properties and the Structure of Finite Groups

Year:    2009

Author:    Yangming Li, Kangtai Peng

Communications in Mathematical Research , Vol. 25 (2009), Iss. 5 : pp. 418–428

Abstract

A subgroup H of a group G is said to have the sub-cover-avoidance property in G if there is a chief series 1=G0G1···Gn=G, such that Gi1(HGi)⊲⊲G for every i=1,2,···,l. In this paper, we give some characteristic conditions for a group to be solvable under the assumptions that some subgroups of a group satisfy the sub-cover-avoidance property.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CMR-19359

Communications in Mathematical Research , Vol. 25 (2009), Iss. 5 : pp. 418–428

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    sub-cover-avoidance property maximal subgroup Sylow subgroup solvable group.

Author Details

Yangming Li Email

Kangtai Peng Email