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On two questions from the Kourovka Notebook

Ballester-Bolinches, Adolfo; Cossey, John; Kamornikov, S. F.; Meng, H.


The aim of this paper is to give answers to some questions concerning intersections of system normalisers and prefrattini subgroups of finite soluble groups raised by the third author, Shemetkov and Vasil'ev in the Kourovka Notebook [10]. Our approach depends on results on regular orbits and it can be also used to extend a result of Mann [9] concerning intersections of injectors associated to Fitting classes.

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: Journal of Algebra
DOI: 10.1016/j.jalgebra.2017.12.014
Access Rights: Open Access


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