Atlas: Free subgroups of Coxeter groups, Artin groups and one-relator groups with torsion by Paul E. Schupp

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G^3 = Geometric Group Theory on the Gulf Coast
March 15-17, 2002
The University of New Orleans and the University of South Alabama
New Orleans, LA, USA

Organizers
Stephen Brick, Craig Jensen, Igor Mineyev

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Free subgroups of Coxeter groups, Artin groups and one-relator groups with torsion
by
Paul E. Schupp
University of Illinois, Urbana, IL. 61801
Coauthors: Ilya Kapovich

For any positive integer k, there is a small cancellation type condition which ensures that all 'suitable' k-generator subgroups of a Coxeter group, an Artin group or a one-relator group with torsion are free. For Coxeter groups 'suitable' means torsion-free.

Paper reference: arXiv:math.GR/0201106

Date received: March 5, 2002