Finitely presented, residually-free groups
Friday November 9, 2007
09:00AM - 09:50AM
Speakers:
Martin Bridson
Abstract:
I shall discuss recent results concerning
the classification of finitely presented, residually
free groups, giving explicit examples and useful
characterisation theorems.
I shall sketch the proof that an arbitrary finitely-generated
residually-free group either has a subgroup of finite
index with a homology group that is not finitely generated,
or else is virtually a direct product of limit groups.
As time allows, I shall explain why, in a f.g. residually-free
group, all finitely presented subgroups are closed in the profinite
topology, and I'll solve the conjugacy problem for finitely presented
residually-free groups. I shall also try to say something about
their Dehn functions.
This is joint work with (in various combinations) Howie, Miller,
Short and Wilton.
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