On certain $3$-generator Artin groups

Craig C. Squier

Type: Article

Publication Date: 1987-01-01

Citations: 11

DOI: https://doi.org/10.1090/s0002-9947-1987-0887500-3

Abstract

We describe the three $3$-generator Artin groups that correspond to the three sets $\{ p,q,r\}$ of positive integer solutions of ${p^{ - 1}} + {q^{ - 1}} + {r^{ - 1}} = 1$. In each case, we show that the Artin group is a free product with amalgamation or HNN extension involving finitely generated free groups and subgroups of finite index.

Locations

Transactions of the American Mathematical Society - View - PDF

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+	Combinatorial Group Theory	1990	Roger C. Lyndon Paul E. Schupp
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