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G^3, Special Session in Geometric Group Theory
January 10-13, 2001
part of the AMS/MAA joint meeting
New Orleans, LA, USA

Organizers
Phil Bowers, Martin Bridson, Stephen Brick, Jon Corson, Igor Mineyev

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A Freiheitssatz for Semi-Staggered Relative Presentations
by
Julia D. Fredericks
John Carroll University

A relative presentation is a triple P = (A, X: R) where A is a group, X is a set, and R is a set of words in the free product A*F(X) (where F(X) is the free group with basis X). Under certain hypothesis on the relative presentation P, 1) the group presented by P is locally indicable; 2) the pre-aspherical model for P is aspherical; 3) the Freiheitssatz holds for P. The result has applications in the computation of cohomology of groups and the field of equations over groups.

Date received: September 27, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafm-08.