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

Alexander Lubotzky, Jason Fox Manning, Henry Wilton

Type: Article

Publication Date: 2019-03-05

Citations: 11

DOI: https://doi.org/10.4171/cmh/454

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.

Locations

Commentarii Mathematici Helvetici - View
arXiv (Cornell University) - View - PDF
Apollo (University of Cambridge) - View - PDF

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