Finite groups with -embedded subgroups
Bin Hu
Jiangsu Normal University, Xuzhou, ChinaJianhong Huang
Jiangsu Normal University, Xuzhou, ChinaAlexander N. Skiba
Francisk Skorina Gomel State University, Belarus
![Finite groups with $H_{\mathcal L}$-embedded subgroups cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rsmup-volume-148.png&w=3840&q=90)
Abstract
Let be a finite soluble group and let be a class of groups. A chief factor of is said to be -central (in ) if ; we write to denote the set of all subgroups of such that every chief factor of between and is -central in . Let be a set of subgroups of . We say that a subgroup of is -embedded in provided is a Hall subgroup of some subgroup . In this paper, we study the structure of under the condition that every subgroup of is -embedded in , where for some hereditary saturated formation . Some known results are generalized.
Cite this article
Bin Hu, Jianhong Huang, Alexander N. Skiba, Finite groups with -embedded subgroups. Rend. Sem. Mat. Univ. Padova 148 (2022), pp. 51–63
DOI 10.4171/RSMUP/102