CEP-subgroups of free Burnside groups of sufficiently large odd exponents.
by
Dmitriy Sonkin
Vanderbilt University, TN

A subgroup H of a group G satisfies congruence extension property (CEP) in G if for any normal subgroup N in H there is a normal subgroup L in G such that
L \cap H = N. In this case H is called a CEP-subgroup of G.

For sufficiently large odd exponent n we construct a CEP-subgroup isomorphic to a free Burnside group B(\infty, n) with infinite number of generators in the free Burnside group B(2, n) on two generators.

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 Mathematical Conference Abstracts. Document # caja-14.