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Rigidity property of diagram groups

Victor Guba·Mark Sapir
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Abstract

We show a rigid connection between two classical objects: the R.Thompson group F and the Dunce hat. A diagram group of a directed 2-complex contains a copy of F if and only if the complex contains a copy of the Dunce hat.

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Victor Guba, Mark Sapir. 2000-05-11. Rigidity property of diagram groups. https://arxiv.org/abs/math/0005105

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