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On embeddings of free Burnside groups of odd exponent n ≥ 1003
by
Varujan Atabekian
Yerevan State University
We proved the following theorem: for each odd number n ≥ 1003 each non cyclic subgroup of the 2-generated free n-Burnside group B(2, n) contains a subgroup isomorphic to the free n-Burnside group B(∞, n) of countable rank. This theorem, which strengthens the earlier result obtained by the author for n > 1080, extends the class of those free Burnside groups for which the hypothesis of A. Yu. Ol’shanskii formulated in Kourovka Notebook (8.53 b) has a positive answer.
Date received: March 10, 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-81.