Mathematics – Geometric Topology
Scientific paper
2012-03-26
Mathematics
Geometric Topology
7 pages, 1 figure
Scientific paper
For relatively hyperbolic groups, we investigate conditions guaranteeing that
the subgroup generated by two relatively quasiconvex subgroups $Q_1$ and $Q_2$
is relatively quasiconvex and isomorphic to $Q_1 \ast_{Q_1 \cap Q_2} Q_2$. The
main theorem extends results for quasiconvex subgroups of word-hyperbolic
groups, and results for discrete subgroups of isometries of hyperbolic spaces.
Martinez-Pedroza Eduardo
Sisto Alessandro
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