We consider groups G such that N_G(H)/HC_G(H) is cyclic for all H≤G. More specifically, we characterize locally nilpotent and supersoluble groups with this property.
Groups with cyclic outer automizers / Celentani, MARIA ROSARIA; Cutolo, Giovanni; Leone, Antonella. - In: ALGEBRA COLLOQUIUM. - ISSN 1005-3867. - 21:3(2014), pp. 381-398. [10.1142/S1005386714000339]
Groups with cyclic outer automizers
CELENTANI, MARIA ROSARIA;CUTOLO, GIOVANNI;LEONE, ANTONELLA
2014
Abstract
We consider groups G such that N_G(H)/HC_G(H) is cyclic for all H≤G. More specifically, we characterize locally nilpotent and supersoluble groups with this property.File in questo prodotto:
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