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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 3, Pages 514–528
DOI: https://doi.org/10.17377/smzh.2018.59.303 (Mi smj2990) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the centralizer dimension and lattice of generalized Baumslag–Solitar groups

F. A. Dudkinab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (377 kB) Citations (5)
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DOI: https://doi.org/10.17377/smzh.2018.59.303
Abstract: A generalized Baumslag–Solitar group (a $GBS$ group) is a finitely generated group $G$ acting on a tree so that all vertex and edge stabilizers are infinite cyclic groups. Each $GBS$ group is the fundamental group $\pi_1(\mathbb A)$ of some labeled graph $\mathbb A$. We describe the centralizers of elements and the centralizer lattice. Also, we find the centralizer dimension for $GBS$ groups if $\mathbb A$ is a labeled tree.
Keywords: centralizer lattice, centralizer dimension, generalized Baumslag–Solitar group.
Funding agency Grant number
Russian Science Foundation 14-21-00065
The work is supported by the Russian Science Foundation (project 14-21-00065).
Received: 27.04.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 3, Pages 403–414
DOI: https://doi.org/10.1134/S0037446618030035
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 35R30
Language: Russian
Citation: F. A. Dudkin, “On the centralizer dimension and lattice of generalized Baumslag–Solitar groups”, Sibirsk. Mat. Zh., 59:3 (2018), 514–528; Siberian Math. J., 59:3 (2018), 403–414
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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