Generalized triangle groups, expanders, and a problem of Agol and Wise
Accepted version
Peer-reviewed
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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.
Description
Keywords
math.GR, math.GR, math.GT
Journal Title
Commentarii Mathematici Helvetici
Conference Name
Journal ISSN
0010-2571
1420-8946
1420-8946
Volume Title
94
Publisher
European Mathematical Society - EMS - Publishing House GmbH
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/L026481/1)