Abstract
Let be the free centre-by-metabelian group of rank n. In this paper, our main result is the followingTheorem. For n ≧ 4, Gn has a finite elementary abelian subgroup Hn of rank . More precisely, Hn is a minimal fully invariant subgroup contained in the centre of Gn and Gn/Hn is isomorphic to a group of 3 x 3 matrices over a finitely generated integral domain of characteristic zero.
Publisher
Cambridge University Press (CUP)
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