International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 13, Pages 2119-2123
doi:10.1155/IJMMS.2005.2119
On a problem on explicit embeddings of the group ℚ
Department of Informatics and Applied Mathematics, Yerevan State University, 1 Alex Manoogian Street, Yerevan 375025, Armenia
Received 27 October 2004; Revised 12 April 2005
Copyright © 2005 Vahagn H. Mikaelian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Answering a question of de la Harpe and Bridson in the
Kourovka Notebook, we build the explicit embeddings of the additive group of rational numbers ℚ in a finitely generated group G. The group G in
fact is two-generator, and the constructed embedding can be
subnormal and preserve a few properties such as solubility or
torsion freeness.