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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1238–1249 (Mi smj1915)  

This article is cited in 1 scientific paper (total in 1 paper)

Formations generated by a group of socle length 2

V. P. Burichenko

Institute of Mathematics, National Academy of Sciences of the Republic of Belarus
Full-text PDF (344 kB) Citations (1)
References:
Abstract: Gaschütz conjectured that a formation generated by a finite group contains only finitely many subformations. In the present article we prove this conjecture for the groups of socle length at most 2. (We say that a group has socle length 1 if it coincides with its socle and has socle length 2 if its quotient by the socle has socle length 1.) Earlier Gaschütz's conjecture was proven in several particular cases including all soluble groups.
Keywords: finite groups, formation.
Received: 11.07.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 6, Pages 988–996
DOI: https://doi.org/10.1007/s11202-008-0095-8
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: V. P. Burichenko, “Formations generated by a group of socle length 2”, Sibirsk. Mat. Zh., 49:6 (2008), 1238–1249; Siberian Math. J., 49:6 (2008), 988–996
Citation in format AMSBIB
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\pages 1238--1249
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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