$SD$-Groups and Embeddings

We show that every countable $SD$-group G can be subnormally embedded into a two-generator $SD$-group $H$. This embedding can have additional properties: if the group $G$ is fully ordered then the group $H$ can be chosen to also be fully ordered. For any non-trivial word set $V$ this embedding can...

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Bibliographic Details
Main Author: Vahagn Mikaelian
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2008-12-01
Series:Armenian Journal of Mathematics
Online Access:http://test.armjmath.sci.am/index.php/ajm/article/view/43