Finite Generalized Triangle Groups

John Howie, V. Metaftsis, R. M. Thomas

Type: Article

Publication Date: 1995-09-01

Citations: 3

DOI: https://doi.org/10.2307/2155028

Abstract

We give an almost complete classification of those generalized triangle groups that are finite, building on previous results of Baumslag, Morgan and Shalen [1], Conder [4], Rosenberger [12] and Levin and Rosenberger [11]. There are precisely two groups for which we cannot decide whether or not they are finite.

Locations

Transactions of the American Mathematical Society - View - PDF

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Works Cited by This (8)

Action	Title	Year	Authors
+	Free subgroups of generalized triangle groups	1989	Gerhard Rosenberger
+	On proper powers in free products and Dehn surgery	1988	Steven Boyer
+ PDF Chat	On infinite groups of Fibonacci type	1986	C. M. Campbell Richard M. Thomas
+	The Quotient of a Free Product of Groups by a Single High-Powered Relator. I. Pictures. Fifth and Higher Powers	1989	James Howie
+	Cayley graphs and group presentations	1988	Richard M. Thomas
+	The Groups (2, 3, p; q); Asphericity and a Conjecture of Coxeter	1993	John Howie R. M. Thomas
+	THREE-RELATOR QUOTIENTS OF THE MODULAR GROUP	1987	Marston Conder
+	Generalized triangle groups	1987	Gilbert Baumslag John W. Morgan Peter B. Shalen