Geodesic
Locally soluble infinite-dimensional linear groups with restrictions on nonAbelian subgroups of infinite ranks
Algebra i logika, Tome 47 (2008) no. 5, pp. 601-616

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We are concerned with locally soluble linear groups of infinite central dimension and infinite sectional $p$-rank, $p\ge0$, in which every proper non-Abelian subgroup of infinite sectional $p$-rank has finite central dimension. It is proved that such groups are soluble.
Keywords: linear group, locally soluble group, solubility. 
@article{AL_2008_47_5_a5,
     author = {O. Yu. Dashkova},
     title = {Locally soluble infinite-dimensional linear groups with restrictions on {nonAbelian} subgroups of infinite ranks},
     journal = {Algebra i logika},
     pages = {601--616},
     publisher = {mathdoc},
     volume = {47},
     number = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2008_47_5_a5/}
}
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O. Yu. Dashkova. Locally soluble infinite-dimensional linear groups with restrictions on nonAbelian subgroups of infinite ranks. Algebra i logika, Tome 47 (2008) no. 5, pp. 601-616. http://geodesic.mathdoc.fr/item/AL_2008_47_5_a5/