Groups in which every non-cyclic subgroup contains its centralizer

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.

10 pages

Cited by in corpus (1)

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