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Algebra i logika, 2013, Volume 52, Number 1, Pages 64–83 (Mi al572)  
This article is cited in 1 scientific paper (total in 1 paper)

The abstract commensurator of Baumslag–Solitar groups

F. A. Dudkinab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: Presentations are found for automorphism groups of all subgroups of finite index in the Baumslag–Solitar group with coprime integer parameters not equal to $0,1$, and $-1$. An abstract commensurator of Baumslag–Solitar groups with the same parameters is described.
Keywords: Baumslag–Solitar group, subgroup of finite index, abstract commensurator, automorphism group.
Received: 02.04.2011
Revised: 30.11.2012
English version:
Algebra and Logic, 2013, Volume 52, Issue 1, Pages 46–60
DOI: https://doi.org/10.1007/s10469-013-9218-9
Bibliographic databases:
Document Type: Article
UDC: 512.543
Language: Russian
Citation: F. A. Dudkin, “The abstract commensurator of Baumslag–Solitar groups”, Algebra Logika, 52:1 (2013), 64–83; Algebra and Logic, 52:1 (2013), 46–60
Citation in format AMSBIB
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