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.
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