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Groups and embeddings in SL(2, C)
(Taylor & FrancisCommunications in Algebra, 2015-10-19)
We give results on when a finitely generated torsion free group does
or does not embed in SL(2, C). For instance if we glue two copies of
the figure 8 knot along its torus boundary then the fundamental group
of the resulting ...
Transversals as Generating Sets in Finitely Generated Groups
(Cambridge University PressBulletin of the Australian Mathematical Society, 2015-08-19)
We explore transversals of finite index subgroups of finitely generated groups. We show that when H is a subgroup of a rank n group G and H has index at least n in G then we can construct a left transversal for H which ...