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arXiv · 1305.4236

Groups in which every non-cyclic subgroup contains its centralizer

Costantino Delizia·Urban Jezernik·Primož Moravec·Chiara Nicotera
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Abstract

We study groups having the property that every non-cyclic subgroup contains its centralizer. The structure of nilpotent and supersolvable groups in this class is described. We also classify finite $p$-groups and finite simple groups with the above defined property.

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Costantino Delizia, Urban Jezernik, Primož Moravec, Chiara Nicotera. 2013-05-18. Groups in which every non-cyclic subgroup contains its centralizer. https://doi.org/10.1142/s0219498813501545

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