University of Birmingham > Talks@bham > Combinatorics and Probability seminar > Discrete group actions on 3-manifolds and embeddable Cayley complexes

## Discrete group actions on 3-manifolds and embeddable Cayley complexesAdd to your list(s) Download to your calendar using vCal - George Kontogeorgiou, University of Warwick
- Thursday 09 June 2022, 15:00-16:00
- Poynting Large Lecture Theatre. Also via Zoom link: https://bham-ac-uk.zoom.us/j/88168768618.
If you have a question about this talk, please contact Eoin Long. A classic theorem of Tucker asserts that a finite group Γ acts on an oriented surface S if and only if Γ has a Cayley graph G that embeds in S equivariantly, i.e. the canonical action of Γ on G can be extended to an action of Γ on all of S. Following the trend for extending graph-theoretic results to higher-dimensional complexes, we prove the following 3-dimensional analogue of Tucker’s Theorem: a finitely generated group Γ acts discretely on a simply connected 3-manifold M if and only if Γ has a “generalised Cayley complex” that embeds equivariantly in one of the following four 3-manifolds: (i) S This talk is part of the Combinatorics and Probability seminar series. ## This talk is included in these lists:- Combinatorics and Probability seminar
- Poynting Large Lecture Theatre. Also via Zoom link: https://bham-ac-uk.zoom.us/j/88168768618
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