English

On the supersoluble residual of mutually permutable products

Group Theory 2016-12-08 v1

Abstract

We prove that if a group G=ABG=AB is the mutually permutable product of the supersoluble subgroups AA and BB, then the supersoluble residual of GG coincides with the nilpotent residual of the derived subgroup GG'.

Keywords

Cite

@article{arxiv.1612.02349,
  title  = {On the supersoluble residual of mutually permutable products},
  author = {V. S. Monakhov},
  journal= {arXiv preprint arXiv:1612.02349},
  year   = {2016}
}