Generalized triangle groups, expanders, and a problem of Agol and Wise
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🧮 math.GR
math.GT
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wiseagolgroupstriangleansweringaskedbuiltconstructed
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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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