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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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How to define the Burnside-type problems for solvability property of groups and Lie algebras
by
Eugene Plotkin
Bar Ilan University
Coauthors: F. Grunewald, B. Kunyavskii, A. Shalev

In the talk we discuss the ways for posting Burnside-type problems related to solvability property. The classical Engel-Zorn-Baer results connect Engel and nilpotency properties of groups and Lie algebras. We describe the obtained counterparts of the Engel-Zorn-Baer results in the solvable case. These results constitute a ground for the corresponding Burnside-type problems.

Date received: October 14, 2005

Copyright © 2005 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-08.