On a problem on explicit embeddings of the group ℚ
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 s...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2119 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |