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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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Bounded-simple groups and small cancellation conditions
by
Alexey Muranov
Vanderbilt U., Nashville TN

We call a group G bounded-simple iff there exists m, such that for any non-trivial element g in G and for any element h in G, h equals some product of no more than m conjugates of g +/- 1. We construct a recursive representation of a 2-generated bounded-simple group, containing a free non-cyclic subgroup using a small cancellation type condition.

Paper reference: arXiv:math.GR/0404472

Date received: March 11, 2002

Copyright © 2002 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 # caja-11.