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.
Groups in which every non-cyclic subgroup contains its centralizer
DELIZIA, Costantino
;NICOTERA, Chiara
2014-01-01
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.File in questo prodotto:
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