On finitely generated normal subgroups of right-angled Artin groups

Abstract:

In general, subgroups of RAAGs are known to have wild structure and bad algorithmic behaviour. However, in this talk we will see that finitely generated normal subgroups are much more tame. More precisely, we will show that a finitely generated normal subgroup of a RAAG is virtually co-abelian.

We will then discuss some algorithmic consequences, such as the decidability of the conjugacy and the membership problems. We will finally discuss residual properties, such as conjugacy separability, for finitely generated normal subgroups of RAAGs.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( slides )

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Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.

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