Object

Title: SD-Groups and Embeddings

Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Date of publication:

2008

Volume:

1

Number:

3

ISSN:

1829-1163

Official URL:


Contributor(s):

Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Coverage:

23-42

Abstract:

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.

Publisher:

Institute of Mathematics

Date created:

2008-12-15

Format:

pdf

Identifier:

oai:arar.sci.am:13215

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Object collections:

Last modified:

Apr 19, 2024

In our library since:

Feb 12, 2020

Number of object content hits:

29

All available object's versions:

https://arar.sci.am/publication/14905

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Edition name Date
SD-Groups and Embeddings Apr 19, 2024

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