On an open problem about -quasi--groups

  • Chi Zhang

    University of Science and Technology of China, Hefei, Anhui, China
  • Li Zhang

    Anhui Jianzhu University, Hefei, Anhui, China
  • Jianhong Huang

    Jiangsu Normal University, Xuzhou, Jiangsu, China

Abstract

Let be a class of finite groups, a prime and a set of some primes. A finite group is called a -quasi--group (respectively, by -quasi--group) provided that for every -eccentric -chief factor of order divisible by (respectively, by at least one prime in ), the automorphisms of induced by all elements of are inner. In this paper, we obtain the characterizations of -quasi--groups and -quasi--groups, which give a positive answer to an open problem in the book [3].

Cite this article

Chi Zhang, Li Zhang, Jianhong Huang, On an open problem about -quasi--groups. Rend. Sem. Mat. Univ. Padova 139 (2018), pp. 185–194

DOI 10.4171/RSMUP/139-6