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

27 Sep 2015  ·  Myropolska Aglaia ·

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 $\mathcal{MN}$. read more

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Group Theory