53 research outputs found
A geometric proof that SL_2(Z[t,t^-1]) is not finitely presented
We give a new proof of the theorem of Krstic-McCool from the title. Our proof
has potential applications to the study of finiteness properties of other
subgroups of SL_2 resulting from rings of functions on curves.Comment: This is the version published by Algebraic & Geometric Topology on 11
July 200
From local to global conjugacy of subgroups of relatively hyperbolic groups
Suppose that a finitely generated group is hyperbolic relative to a
collection of subgroups . Let be
subgroups of such that is relatively quasiconvex with respect to
and is not parabolic. Suppose that is elementwise
conjugate into . Then there exists a finite index subgroup of which
is conjugate into . The minimal length of the conjugator can be estimated.
In the case where is a limit group, it is sufficient to assume only that
is a finitely generated and is an arbitrary subgroup of .Comment: 14 pages, 1 Figure. The proof in this version is shorte
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