The class MN of groups in which all maximal subgroups are normal

2015/09/27 by Aglaia Myropolska, Myropolska, Aglaia
Mathematics · Medicine · #Chronic Myeloid Leukemia Treatments #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1509.08090

openalex publication_date 2015/09/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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

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