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arXiv · 1509.08090

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

Aglaia Myropolska
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Abstract

We investigate the class $\mathcal{MN}$ of groups with the property that all maximal subgroups are normal. The class $\mathcal{MN}$ 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 $\mathcal{MN}$ and present examples of groups in $\mathcal{MN}$ and not in $\mathcal{MN}$.

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Aglaia Myropolska. 2015-09-27. The class $\mathcal{MN}$ of groups in which all maximal subgroups are normal. https://arxiv.org/abs/1509.08090

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