Finite groups with some CAP-subgroups

  • Luis M. Ezquerro

    Universidad Pública de Navarra, Pamplona, Spain
  • Xianhua Li

    Suzhou University, China
  • Yangming Li

    Guangdong Institute of Education, Guangzhou, China


A subgroup AA of a group GG is said to be a CAP-subgroup of GG if for any chief factor H/KH/K of GG, there holds HA=KAH\cap A = K\cap A or HA=KAHA = KA. 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