On non-Abelian infinite-dimensional linear groups

O.Yu. Dashkova (Kyiv National University)

Abstract


We study non-Abelian solvable infinite-dimensional linear groups of infinite $$$p$$$-rank ($$$р \geqslant 0$$$) and of infinite fundamental dimensionality, whose any proper non-Abelian subgroup of infinite $$$p$$$-rank has finite fundamental dimensionality. We obtain the description of structure of groups from this class.

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DOI: https://doi.org/10.15421/240808

  

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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