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Algebra i logika, 2008, Volume 47, Number 5, Pages 601–616 (Mi al378)  

This article is cited in 5 scientific papers (total in 5 papers)

Locally soluble infinite-dimensional linear groups with restrictions on nonAbelian subgroups of infinite ranks

O. Yu. Dashkova
Full-text PDF (187 kB) Citations (5)
References:
Abstract: We are concerned with locally soluble linear groups of infinite central dimension and infinite sectional $p$-rank, $p\ge0$, in which every proper non-Abelian subgroup of infinite sectional $p$-rank has finite central dimension. It is proved that such groups are soluble.
Keywords: linear group, locally soluble group, solubility.
Received: 14.07.2007
Revised: 15.05.2008
English version:
Algebra and Logic, 2008, Volume 47, Issue 5, Pages 340–347
DOI: https://doi.org/10.1007/s10469-008-9025-x
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: O. Yu. Dashkova, “Locally soluble infinite-dimensional linear groups with restrictions on nonAbelian subgroups of infinite ranks”, Algebra Logika, 47:5 (2008), 601–616; Algebra and Logic, 47:5 (2008), 340–347
Citation in format AMSBIB
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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    Abstract page:284
    Full-text PDF :69
    References:43
    First page:4
     
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