Abstract

RODRIGUEZ-NIETO, José Gregorio. On non-abelian representations of Baumslag-Solitar groups. Rev.colomb.mat. [online]. 2017, vol.51, n.1, pp.43-56. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v51n1.66834.

The goal of this paper is to study the set of non-abelian representations (nab-rep) of the Baumslag-Solitar groups,

with n,m non zero integers, into SL(2, ).

We use such information in order to show, which it is well known, that for |m| > 1, BS(1, m) is a linear group. Moreover, we prove that its representation image into the Möbius transformations is an elementary and non discrete subgroup.

Keywords : Representations of Baumslag-Solitar groups; Baumslagsolitar groups; Parabolic represeOriginals articlessntations; Elliptic representations; Affine varieties; Affine algebraic sets.

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