TY - JOUR
AU - Mikaelian, Vahagn
PY - 2008/12/15
Y2 - 2020/12/04
TI - $SD$-Groups and Embeddings
JF - Armenian Journal of Mathematics
JA - Armen.J.Math.
VL - 1
IS - 3
SE -
DO -
UR - http://armjmath.sci.am/index.php/ajm/article/view/43
SP - pp. 23-42
AB - <p>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 be constructed so that the image of $G$ under the embedding lies in the verbal subgroup $V (H)$ of $H$.</p>
ER -