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Algebra and Discrete Mathematics, 2008, Issue 3, Pages 40–49 (Mi adm168)  
RESEARCH ARTICLE

On some locally soluble infinite dimensional linear groups

O. Yu. Dashkova

49055 Ukraine Dniepropetrovsk, prospect Kirova, 102–D, kv. 5
Full-text PDF (218 kB)
Abstract: The author investigates nonabelian locally soluble linear groups of infinite fundamental dimension and of infinite section p-rank all of whose proper nonabelian subgroups of infinite section p-rank are of finite fundamental dimension. The solubility of these groups is proved.
Keywords: locally soluble group, linear group, fundamental dimension, section p-rank.
Received: 09.01.2008
Revised: 14.10.2008
Bibliographic databases:
Document Type: Article
MSC: 20E99
Language: English
Citation: O. Yu. Dashkova, “On some locally soluble infinite dimensional linear groups”, Algebra Discrete Math., 2008, no. 3, 40–49
Citation in format AMSBIB
\Bibitem{Das08}
\by O.~Yu.~Dashkova
\paper On some locally soluble infinite dimensional linear groups
\jour Algebra Discrete Math.
\yr 2008
\issue 3
\pages 40--49
\mathnet{http://mi.mathnet.ru/adm168}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2477807}
\zmath{https://zbmath.org/?q=an:1164.20014}
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