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Matematicheskie Zametki, 2007, Volume 82, Issue 3, Pages 469–476
DOI: https://doi.org/10.4213/mzm3842 (Mi mzm3842) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Automorphisms and Normal Subgroups of Linear Groups

A. A. Yadchenko

Institute of Mathematics, National Academy of Sciences of the Republic of Belarus
Full-text PDF (450 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm3842
Abstract: In the present paper, the properties of orders of coprime automorphisms of irreducible linear groups are established and sufficient conditions for the existence of a normal Hall $\pi$-subgroup in a given $\pi$-separable irreducible complex linear group are obtained.
Keywords: finite group, irreducible linear group, coprime automorphism, normal Hall subgroup, irreducible character, Sylow group, Frobenius group.
Received: 27.02.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 3, Pages 418–425
DOI: https://doi.org/10.1134/S0001434607090143
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. A. Yadchenko, “Automorphisms and Normal Subgroups of Linear Groups”, Mat. Zametki, 82:3 (2007), 469–476; Math. Notes, 82:3 (2007), 418–425
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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