On two questions from the Kourovka Notebook

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

doi:10.1016/j.jalgebra.2017.12.014

On two questions from the Kourovka Notebook

A. Ballester-Bolinches^*, John Cossey, S. F. Kamornikov, H. Meng

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	438-449
Number of pages	12
Journal	Journal of Algebra
Volume	499
DOIs	https://doi.org/10.1016/j.jalgebra.2017.12.014
Publication status	Published - 1 Apr 2018

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10.1016/j.jalgebra.2017.12.014

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title = "On two questions from the Kourovka Notebook",

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.",

keywords = "Finite groups, Fitting classes, Formations, Injectors, Normalisers, Prefrattini subgroups, Soluble groups",

author = "A. Ballester-Bolinches and John Cossey and Kamornikov, {S. F.} and H. Meng",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2018",

month = apr,

day = "1",

doi = "10.1016/j.jalgebra.2017.12.014",

language = "English",

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journal = "Journal of Algebra",

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T1 - On two questions from the Kourovka Notebook

AU - Ballester-Bolinches, A.

AU - Cossey, John

AU - Kamornikov, S. F.

AU - Meng, H.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - 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.

AB - 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.

KW - Finite groups

KW - Fitting classes

KW - Formations

KW - Injectors

KW - Normalisers

KW - Prefrattini subgroups

KW - Soluble groups

UR - http://www.scopus.com/inward/record.url?scp=85044864835&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2017.12.014

DO - 10.1016/j.jalgebra.2017.12.014

M3 - Article

SN - 0021-8693

VL - 499

SP - 438

EP - 449

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On two questions from the Kourovka Notebook

Abstract

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