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Understanding Tubular Groups

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NPCW01 - Non-positive curvature in action

A group is tubular if it splits as a graph of groups with rank 2 free abelian vertex groups and infinite cyclic edge groups. Tubular groups have been an interesting source of counterexamples in geometric group theory. I will introduce the examples of Gersten and Wise before moving onto recent results relating to cubulating tubular groups. This will include a classification of virtually special tubular groups. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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