Characterizations of hypercyclically embedded subgroups of finite groups

  • Xiaolan Yi

    Zhejiang University of Science and Technology, Hangzhou, China

Abstract

A normal subgroup of a finite group is said to be hypercyclically embedded in if every chief factor of below is cyclic. Our main goal here is to give new characterizations of hypercyclically embedded subgroups. In particular, we prove that a normal subgroup of a finite group is hypercyclically embedded in if and only if for every different primes and and every -element , -element and -element we have . Some known results are generalized. \end{abstract}

Cite this article

Xiaolan Yi, Characterizations of hypercyclically embedded subgroups of finite groups. Rend. Sem. Mat. Univ. Padova 135 (2016), pp. 195–206

DOI 10.4171/RSMUP/135-11