Finite groups with some CAP-subgroups

Luis M. Ezquerro; Xianhua Li; Yangming Li

doi:10.4171/rsmup/131-6

JournalsrsmupVol. 131pp. 77–87

Finite groups with some CAP-subgroups

Luis M. Ezquerro
Universidad Pública de Navarra, Pamplona, Spain
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Xianhua Li
Suzhou University, China
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- zbMATH Open
Yangming Li
Guangdong Institute of Education, Guangzhou, China
- MathSciNet
- zbMATH Open

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Abstract

A subgroup $A$ of a group $G$ is said to be a CAP-subgroup of $G$ if for any chief factor $H / K$ of $G$ , there holds $H \cap A = K \cap A$ or $H A = K A$ . We investigate the influence of CAP-subgroups on the structure of finite groups. Some recent results are generalized.

Cite this article

Luis M. Ezquerro, Xianhua Li, Yangming Li, Finite groups with some CAP-subgroups. Rend. Sem. Mat. Univ. Padova 131 (2014), pp. 77–87

DOI 10.4171/RSMUP/131-6