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Solvable infinite-dimensional linear groups with restrictions on the nonabelian subgroups of infinite rank
Authors:O Yu Dashkova
Institution:(1) Taras Shevchenko University, Kiev, the Ukraine
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.
Keywords:linear group  solvable group  special rank of a group  sectional p-rank of a group  central dimension of a linear group
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