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 $1 = G_0 ≤ G_1 ≤ · · · ≤ G_n = G$, such that $G_{i−1}(H ∩ G_i)\lhd \lhd G$ 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.