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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1280–1295 (Mi smj1918)  
This article is cited in 5 scientific papers (total in 5 papers)

Solvable infinite-dimensional linear groups with restrictions on the nonabelian subgroups of infinite rank

O. Yu. Dashkova

National Taras Shevchenko University of Kyiv, The Faculty of Mechanics and Mathematics
Full-text PDF (352 kB) Citations (5)
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Abstract: Under study are the solvable nonabelian linear groups of infinite central dimension and sectional $p$-rank, $p\ge0$, in which all proper nonabelian subgroups of infinite sectional $p$-rank have finite central dimension. We describe the structure of the groups of this class.
Keywords: linear group, solvable group, special rank of a group, sectional $p$-rank of a group, central dimension of a linear group.
Received: 13.05.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 6, Pages 1023–1033
DOI: https://doi.org/10.1007/s11202-008-0098-5
Bibliographic databases:
UDC: 517.927.2
Language: Russian
Citation: O. Yu. Dashkova, “Solvable infinite-dimensional linear groups with restrictions on the nonabelian subgroups of infinite rank”, Sibirsk. Mat. Zh., 49:6 (2008), 1280–1295; Siberian Math. J., 49:6 (2008), 1023–1033
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
    		Сибирский математический журнал Siberian Mathematical Journal
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