This article is cited in 5 papers

Locally soluble infinite-dimensional linear groups with restrictions on nonAbelian subgroups of infinite ranks

O. Yu. Dashkova


Abstract: 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.

UDC: 512.542

Received: 14.07.2007
Revised: 15.05.2008

 English version: Algebra and Logic, 2008, 47:5, 340–347

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