On Cover-Avoiding Subgroups of Sylow Subgroups of Finite Groups
Yangming Li
Guangdong Institute of Education, Guangzhou, China
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Abstract
A subgroup of a finite group is called to have the cover-avoidance property in , is a CAP subgroup of in short, if either covers or avoids every chief factor of . In the present work, we fix a subgroup in every Sylow subgroup of satisfying and study the structure of under the assumption that every subgroup with has the cover-avoidance property in . We state our results in the broader context of formation theory.
Cite this article
Yangming Li, On Cover-Avoiding Subgroups of Sylow Subgroups of Finite Groups. Rend. Sem. Mat. Univ. Padova 123 (2010), pp. 249–258
DOI 10.4171/RSMUP/123-13