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

Alexander Lubotzky; Jason Fox Manning; Henry Wilton

doi:10.4171/CMH/454

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

Alexander Lubotzky, Jason Fox Manning, Henry Wilton

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	53-66
Number of pages	14
Journal	Commentarii Mathematici Helvetici
Volume	94
Issue number	1
DOIs	https://doi.org/10.4171/CMH/454
State	Published - 2019

Bibliographical note

Publisher Copyright:
© Swiss Mathematical Society.

Keywords

Combinatorial Dehn filling
Expanders
Virtually special groups

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10.4171/CMH/454

Cite this

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

Abstract

Bibliographical note

Keywords

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