On the product of two -decomposable groups

  • L.S. Kazarin

    Yaroslavl P. Demidov State University, Russian Federation
  • Ana Martínez-Pastor

    Universidad Politecnia de Valencia, Spain
  • M. Dolores Pérez-Ramos

    Universitat de València, Burjassot (Valencia), Spain

Abstract

The aim of this paper is to prove the following result: let be a set of odd primes. If the finite group is a product of two -decomposable subgroups and , then and this is a Hall -subgroup of .

Cite this article

L.S. Kazarin, Ana Martínez-Pastor, M. Dolores Pérez-Ramos, On the product of two -decomposable groups. Rev. Mat. Iberoam. 31 (2015), no. 1, pp. 51–68

DOI 10.4171/RMI/826