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Bulletin of the London Mathematical Society Advance Access originally published online on June 23, 2008
Bulletin of the London Mathematical Society 2008 40(4):715-719; doi:10.1112/blms/bdn055
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© 2008 London Mathematical Society

Artin HNN-extensions virtually embed in Artin groups

T. Hsu

Department of Mathematics
San José State University
San José, CA 95192-0103
USA
hsu@math.sjsu.edu

I. J. Leary

Department of Mathematics
The Ohio State University
231 W. 18th Avenue
Columbus, OH 43210
USA

Received 13 February 2008.

An Artin HNN-extension is an HNN-extension of an Artin group in which the stable letter conjugates a pair of suitably chosen subsets of the standard generating set. We show that some finite index subgroup of an Artin HNN-extension embeds in an Artin group. We also obtain an analogous result for Coxeter groups.

2000 Mathematics Subject Classification 20F36 (primary), 20F55, 20F65 (secondary).

This work was done at MSRI, Berkeley, where the research is supported in part by NSF grant DMS-0441170. The second author was partially supported by NSF grant DMS-0505471.


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