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

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.

On some topics in the theory of infinite dimensional linear groups

“…Our goal has been to give the general flavour of some of the results that can be obtained when certain finiteness conditions hold, so we presented only certain key situations. The interested reader can also find a number of papers related to these results, a list which includes, but is not limited to, the following papers: [4,5,[8][9][10][25][26][27][28][29][30][31] and [43].…”