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Computation of the centralizer dimension of generalized Baumslag-Solitar groups. / Dudkin, Fedor Anatol evich.

In: Сибирские электронные математические известия, Vol. 15, 01.01.2018, p. 1823-1841.

Research output: Contribution to journal › Article › peer-review

Harvard

Dudkin, FAE 2018, 'Computation of the centralizer dimension of generalized Baumslag-Solitar groups', Сибирские электронные математические известия, vol. 15, pp. 1823-1841. https://doi.org/10.33048/semi.2018.15.147

APA

Dudkin, F. A. E. (2018). Computation of the centralizer dimension of generalized Baumslag-Solitar groups. Сибирские электронные математические известия, 15, 1823-1841. https://doi.org/10.33048/semi.2018.15.147

Vancouver

Dudkin FAE. Computation of the centralizer dimension of generalized Baumslag-Solitar groups. Сибирские электронные математические известия. 2018 Jan 1;15:1823-1841. doi: 10.33048/semi.2018.15.147

Author

Dudkin, Fedor Anatol evich. / Computation of the centralizer dimension of generalized Baumslag-Solitar groups. In: Сибирские электронные математические известия. 2018 ; Vol. 15. pp. 1823-1841.

BibTeX

@article{25bff9adf9cd4bafb5386dda2fdf093c,
title = "Computation of the centralizer dimension of generalized Baumslag-Solitar groups",
abstract = "A finitely generated group G acting on a tree so that all vertex and edge stabilizers are infinite cyclic groups is called a generalized Baumslag-Solitar group (GBS group). The centralizer dimension of a group G is the maximal length of a descending chain of centralizers. In this paper we complete a description of centralizers for unimodular GBS groups. This allows us to find the centralizer dimension of all GBS groups and to establish a way to compute it.",
keywords = "Baumslag-Solitar group, Centralizer dimension, Centralizer of set of elements, Generalized Baumslag-Solitar group",
author = "Dudkin, {Fedor Anatol evich}",
year = "2018",
month = jan,
day = "1",
doi = "10.33048/semi.2018.15.147",
language = "English",
volume = "15",
pages = "1823--1841",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - Computation of the centralizer dimension of generalized Baumslag-Solitar groups

AU - Dudkin, Fedor Anatol evich

PY - 2018/1/1

Y1 - 2018/1/1

N2 - A finitely generated group G acting on a tree so that all vertex and edge stabilizers are infinite cyclic groups is called a generalized Baumslag-Solitar group (GBS group). The centralizer dimension of a group G is the maximal length of a descending chain of centralizers. In this paper we complete a description of centralizers for unimodular GBS groups. This allows us to find the centralizer dimension of all GBS groups and to establish a way to compute it.

AB - A finitely generated group G acting on a tree so that all vertex and edge stabilizers are infinite cyclic groups is called a generalized Baumslag-Solitar group (GBS group). The centralizer dimension of a group G is the maximal length of a descending chain of centralizers. In this paper we complete a description of centralizers for unimodular GBS groups. This allows us to find the centralizer dimension of all GBS groups and to establish a way to compute it.

KW - Baumslag-Solitar group

KW - Centralizer dimension

KW - Centralizer of set of elements

KW - Generalized Baumslag-Solitar group

UR - http://www.scopus.com/inward/record.url?scp=85066083215&partnerID=8YFLogxK

U2 - 10.33048/semi.2018.15.147

DO - 10.33048/semi.2018.15.147

M3 - Article

AN - SCOPUS:85066083215

VL - 15

SP - 1823

EP - 1841

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 20158104