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arXiv · 1702.08200

Generalized triangle groups, expanders, and a problem of Agol and Wise

Alexander Lubotzky·Jason Fox Manning·Henry Wilton
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Abstract

Answering a question asked by Agol and Wise, we show that a desired stronger form of Wise's malnormal special quotient theorem does not hold. The counterexamples are generalizations of triangle groups, built using the Ramanujan graphs constructed by Lubotzky--Phillips--Sarnak.

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Alexander Lubotzky, Jason Fox Manning, Henry Wilton. 2017-02-27. Generalized triangle groups, expanders, and a problem of Agol and Wise. https://arxiv.org/abs/1702.08200

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