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arxiv: 1510.06545 · v2 · pith:DFPTS5Y2new · submitted 2015-10-22 · 🧮 math.GR

Groups in which every non-abelian subgroup is self-centralizing

classification 🧮 math.GR
keywords groupseverynon-abelianpropertysubgroupaboveaddressberkovich
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We study groups having the property that every non-abelian subgroup contains its centralizer. We describe various classes of infinite groups in this class, and address a problem of Berkovich regarding the classification of finite $p$-groups with the above property.

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