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On two questions from the Kourovka Notebook

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Date

2017

Authors

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

Journal Title

Journal ISSN

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.

Description

Keywords

Finite groups, Soluble groups, Formations, Fitting classes, Prefrattini subgroups, Normalisers, Injectors

Citation

URI

http://hdl.handle.net/1885/139099

Collections

ANU Research Publications

Source

Journal of Algebra

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

Creative Commons Attribution Non-Commercial No Derivatives License

DOI

10.1016/j.jalgebra.2017.12.014

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