Ch. K. Gupta, E. I. Timoshenko, “First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable groups”, Sibirsk. Mat. Zh., 2006, Volume 47, Number 4,Pages <nobr>769

This article is cited in 2 papers

First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable groups

Ch. K. Gupta^a, E. I. Timoshenko^b

^a University of Manitoba
^b Novosibirsk State University of Architecture and Civil Engineering

Abstract: We study the first-order definable, Diophantine, and algebraic subsets in the set of all ordered sets generating a group or generating a group as a normal subgroup for some relatively free solvable groups.

Keywords: generating collection, annihilating collection, Diophantine set, algebraic set, first-order definable set, solvable group, nilpotent group.

UDC: 512.5

Received: 24.03.2005