English

On groups with modular Schmidt subgroups

Group Theory 2023-04-11 v1

Abstract

We prove that if every Schmidt subgroup of a group GG is subnormal or modular, then G/F(G)G/F(G) is cyclic

Keywords

Cite

@article{arxiv.2304.04081,
  title  = {On groups with modular Schmidt subgroups},
  author = {Victor S. Monakhov and Irina L. Sokhor},
  journal= {arXiv preprint arXiv:2304.04081},
  year   = {2023}
}
R2 v1 2026-06-28T09:55:40.265Z