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Sbornik: Mathematics, 2012, Volume 203, Issue 3, Pages 326–350
DOI: https://doi.org/10.1070/SM2012v203n03ABEH004225 (Mi sm7803) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Finite groups with Hall $\pi$-subgroups

V. A. Vedernikov

Moscow City Pedagogical University
English version PDF (606 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM2012v203n03ABEH004225
Abstract: New classes of finite groups with Hall $\pi$-subgroups that have the Sylow properties are constructed and studied. The classes of groups $C_\pi$ and $D_\pi$ introduced by P. Hall are substantially extended. Necessary and sufficient conditions are established under which a finite group has Hall $\pi$-subgroups. $D$-Theorems generalizing $D$-theorems of P. Hall, Wielandt, Baer, and Hartley are obtained.
Bibliography: 30 titles.
Keywords: finite group, Hall $\pi$-subgroup, class of groups, formation.
Received: 22.10.2010 and 23.08.2011
Russian version:
Matematicheskii Sbornik, 2012, Volume 203, Number 3, Pages 23–48
DOI: https://doi.org/10.4213/sm7803
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: Primary 20D20; Secondary 20D10
Language: English
Original paper language: Russian
Citation: V. A. Vedernikov, “Finite groups with Hall $\pi$-subgroups”, Mat. Sb., 203:3 (2012), 23–48; Sb. Math., 203:3 (2012), 326–350
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v203/i3/p23
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:594
    Russian version PDF:224
    English version PDF:18
    References:92
    First page:25
     
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