On two questions from the Kourovka Notebook
Date
2017
Authors
Ballester-Bolinches, Adolfo
Cossey, John
Kamornikov, S. F.
Meng, H.
Journal Title
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Volume Title
Publisher
Elsevier
Abstract
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.
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Keywords
Finite groups, Soluble groups, Formations, Fitting classes, Prefrattini subgroups, Normalisers, Injectors
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Source
Journal of Algebra
Type
Journal article
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Access Statement
Open Access
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Creative Commons Attribution Non-Commercial No Derivatives License
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Author/s Accepted Manuscript (AAM) / Post-print