We study the class of all groups in which the centralizer of each element is a subnormal subgroup. In particular, we focus on the case when the defect of every centralizer is at most 2. We show that a group without involutions satisfies this property if and only if it is 3-Engel.
Groups with all centralizers subnormal of defect at most two
DELIZIA, Costantino
;NICOTERA, Chiara
2013-01-01
Abstract
We study the class of all groups in which the centralizer of each element is a subnormal subgroup. In particular, we focus on the case when the defect of every centralizer is at most 2. We show that a group without involutions satisfies this property if and only if it is 3-Engel.File in questo prodotto:
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