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Russian Mathematical Surveys, 2011, Volume 66, Issue 5, Pages 829–870
DOI: https://doi.org/10.1070/RM2011v066n05ABEH004762 (Mi rm9440) 		 
This article is cited in 53 scientific papers (total in 53 papers)

Theorems of Sylow type

E. P. Vdovinab, D. O. Revinab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
English version PDF (839 kB) Citations (53)
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DOI: https://doi.org/10.1070/RM2011v066n05ABEH004762
Abstract: Let $\pi$ be a set of primes. Generalizing the known properties of Sylow subgroups, Hall introduced the classes $E_\pi$, $C_\pi$, and $D_\pi$ of finite groups that contain a Hall $\pi$-subgroup, precisely one conjugacy class of Hall $\pi$-subgroups, and precisely one conjugacy class of maximal $\pi$-subgroups, respectively. The present paper concerns results about $E_\pi$, $C_\pi$, and $D_\pi$ that have been obtained by different authors at different times.
Bibliography: 113 titles.
Keywords: Hall subgroup, finite group, finite simple group, Hall property, existence criterion for Hall subgroups, conjugacy criterion for Hall subgroups, finite groups of Lie type, an analogue of Sylow's theorem for Hall subgroups.
Received: 07.10.2010
Russian version:
Uspekhi Matematicheskikh Nauk, 2011, Volume 66, Issue 5(401), Pages 3–46
DOI: https://doi.org/10.4213/rm9440
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: Primary 20D20; Secondary 20D06, 20D08, 20D10
Language: English
Original paper language: Russian
Citation: E. P. Vdovin, D. O. Revin, “Theorems of Sylow type”, Uspekhi Mat. Nauk, 66:5(401) (2011), 3–46; Russian Math. Surveys, 66:5 (2011), 829–870
Citation in format AMSBIB
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    • This publication is cited in the following 53 articles:
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