On some locally soluble infinite dimensional linear groups

O. Yu. Dashkova

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

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