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Polygonal complexes II

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If you have a question about this talk, please contact David Craven.

With T Januszkiewicz, R Valle and R Vogeler I have been working on classifying polygonal complexes that admit a flag-transitive group of symmetries and have either the complete graph or the octahedral graph as vertex link. When the polygons have at least 6 sides we have a classification result. In this talk I intend to focus instead on the partial results that we have for triangles, squares and pentagons. (The ‘II’ at the end of the title reflects the fact that I gave a talk on this work, focussing on polygons with at least 6 sides, at the workshop ‘Geometric presentations of finite and infinite groups’ at Birmingham this summer.)

This talk is part of the Algebra seminar series.

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