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

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Abstract

Under study are the solvable nonabelian linear groups of infinite central dimension and sectional p-rank, p ≥ 0, 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.

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Authors and Affiliations

  1. Taras Shevchenko University, Kiev, the Ukraine

    O. Yu. Dashkova

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  1. O. Yu. Dashkova
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Correspondence to O. Yu. Dashkova.

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Original Russian Text Copyright © 2008 Dashkova O. Yu.

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Kiev. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 6, pp. 1280–1295, November–December, 2008.

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Dashkova, O.Y. Solvable infinite-dimensional linear groups with restrictions on the nonabelian subgroups of infinite rank. Sib Math J 49, 1023–1033 (2008). https://doi.org/10.1007/s11202-008-0098-5

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  • DOI: https://doi.org/10.1007/s11202-008-0098-5

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