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Combinatorial and Geometric Group Theory
May 5-10, 2006
Vanderbilt University
Nashville, TN, USA

Organizers
Goulnara Arzhantseva, Mike Mihalik, Denis Osin, Mark Sapir, Efim Zelmanov

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A minimal Cantor set in the space of 3-generated groups
by
Volodymyr Nekrashevych
Texas A&M University

I will describe a family of just-infinite branch 3-generated groups parametrized by infinite binary sequences, which originates from a problem in holomorphic dynamics. Two groups in this family are isomorphic if and only if the corresponding sequences are cofinal. No two groups of the family can be distinguished by finite sets of relations. Other interesting properties of the groups will be discussed.

Date received: February 19, 2006

Copyright © 2006 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 # caqu-45.