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Matematicheskie Zametki, 2012, Volume 92, Issue 3, Pages 361–367
DOI: https://doi.org/10.4213/mzm8972 (Mi mzm8972) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Groups Whose Small-Order Elements Generate a Small Subgroup

V. P. Burichenko

Institute of Mathematics of the National Academy of Sciences of Belarus
Full-text PDF (424 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm8972
Abstract: It is proved that every finite group $G$ can be represented as the quotient group of some finite group $K$ such that all elements of “small” primary orders in $K$ generate an Abelian normal subgroup.
Keywords: finite group, primary order, solvable group, Abelian group, cohomology of a group, Abelian $p$-group, exponent of a group.
Received: 14.01.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 3, Pages 327–332
DOI: https://doi.org/10.1134/S0001434612090040
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. P. Burichenko, “On Groups Whose Small-Order Elements Generate a Small Subgroup”, Mat. Zametki, 92:3 (2012), 361–367; Math. Notes, 92:3 (2012), 327–332
Citation in format AMSBIB
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    • This publication is cited in the following 4 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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