Finite groups with -embedded subgroups

  • Bin Hu

    Jiangsu Normal University, Xuzhou, China
  • Jianhong Huang

    Jiangsu Normal University, Xuzhou, China
  • Alexander N. Skiba

    Francisk Skorina Gomel State University, Belarus
Finite groups with $H_{\mathcal L}$-embedded subgroups cover
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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