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
Vahagn H. Mikaelian
Department of Informatics and Applied Mathematics, Yerevan State University, 1 Alex Manoogian Street, Yerevan 375025, Armenia
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.