English

The class $\mathcal{MN}$ of groups in which all maximal subgroups are normal

Group Theory 2015-09-29 v1

Abstract

We investigate the class MN\mathcal{MN} of groups with the property that all maximal subgroups are normal. The class MN\mathcal{MN} appeared in the framework of the study of potential counter-examples to the Andrews-Curtis conjecture. In this note we give various structural properties of groups in MN\mathcal{MN} and present examples of groups in MN\mathcal{MN} and not in MN\mathcal{MN}.

Cite

@article{arxiv.1509.08090,
  title  = {The class $\mathcal{MN}$ of groups in which all maximal subgroups are normal},
  author = {Aglaia Myropolska},
  journal= {arXiv preprint arXiv:1509.08090},
  year   = {2015}
}
R2 v1 2026-06-22T11:06:24.712Z