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On Semi Cover-Avoiding Maximal Subgroups of Sylow Subgroups of Finite Groups
Authors:
Yangming Li a;
Long Miao b;
Yanming Wang c
| Affiliations: | a Department of Mathematics, Guangdong Institute of Education, Guangzhou, China |
| b Department of Mathematics, Yangzhou University, Yangzhou, China | |
| c Lingnan College and Department of Mathematics, Zhongshan University, Guangzhou, China |
DOI:
10.1080/00927870802465837
Publication Frequency:
12 issues per year
Subject:
Fields & Rings;
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Abstract
A subgroup H of a finite group G is called to have semi cover-avoiding property in G if there is a normal series of G such that H either covers or avoids every normal factor of the series. In this article we get some new results under the assumption that every maximal subgroup of Sylow subgroups of a suited subgroup of G has semi cover-avoiding property in G. We state our results in the broader context of formation theory.
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| Keywords: Formation; Semi cover-avoiding property; The generalized Fitting subgroup |
| 2000 Mathematics Subject Classification: 20D10; 20D20 |
| view references (17) |
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