Gaussian groups are torsion free

Authors
Dehornoy, P
Citation
P. Dehornoy, Gaussian groups are torsion free, J ALGEBRA, 210(1), 1998, pp. 291-297
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
210
Issue
1
Year of publication
1998
Pages
291 - 297
Database
ISI
SICI code
0021-8693(199812)210:1<291:GGATF>2.0.ZU;2-Q
Abstract
Assume that G is a group of fractions of a cancellative monoid where lower common multiples exist and divisibility has no infinite descending chain. T hen G is torsion free. The result applies in particular to all finite Coxet er type Artin groups. (C) 1998 Academic Press.