Atlas home || Conferences | Abstracts | about Atlas

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

View Abstracts
Conference Homepage

Algebraic extensions of free groups
by
Alexei Miasnikov
The City College of CUNY
Coauthors: Ilya Kapovich

Algebraic extensions of free groups mimic corresponding notions from field theory. Let H be a subgroup of a free group F. We say that F is a free extension (or a purely transcendental extension) of H if H is a free factor of F. On the other hand, F is termed an algebraic extension of H if H is not contained in a proper free factor of F. It turns out that one can develop a basic theory of algebraic extensions of free groups similar to algebraic extensions of fields. I am going to discuss algebraic closures of subgroups of free groups and their applications.

Date received: October 2, 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-22.