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On the Centralizer Dimension and Lattice of Generalized Baumslag–Solitar Groups. / Dudkin, F. A.

в: Siberian Mathematical Journal, Том 59, № 3, 01.05.2018, стр. 403-414.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Dudkin, FA 2018, 'On the Centralizer Dimension and Lattice of Generalized Baumslag–Solitar Groups', Siberian Mathematical Journal, Том. 59, № 3, стр. 403-414. https://doi.org/10.1134/S0037446618030035

APA

Dudkin, F. A. (2018). On the Centralizer Dimension and Lattice of Generalized Baumslag–Solitar Groups. Siberian Mathematical Journal, 59(3), 403-414. https://doi.org/10.1134/S0037446618030035

Vancouver

Dudkin FA. On the Centralizer Dimension and Lattice of Generalized Baumslag–Solitar Groups. Siberian Mathematical Journal. 2018 май 1;59(3):403-414. doi: 10.1134/S0037446618030035

Author

Dudkin, F. A. / On the Centralizer Dimension and Lattice of Generalized Baumslag–Solitar Groups. в: Siberian Mathematical Journal. 2018 ; Том 59, № 3. стр. 403-414.

BibTeX

@article{ed61ecbc65124f7a8fbbbf4cc4c52b50,
title = "On the Centralizer Dimension and Lattice of Generalized Baumslag–Solitar Groups",
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 π1(A) of some labeled graph A. We describe the centralizers of elements and the centralizer lattice. Also, we find the centralizer dimension for GBS groups if A is a labeled tree.",
keywords = "centralizer dimension, centralizer lattice, generalized Baumslag–Solitar group, generalized Baumslag-Solitar group",
author = "Dudkin, {F. A.}",
year = "2018",
month = may,
day = "1",
doi = "10.1134/S0037446618030035",
language = "English",
volume = "59",
pages = "403--414",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "3",

}

RIS

TY - JOUR

T1 - On the Centralizer Dimension and Lattice of Generalized Baumslag–Solitar Groups

AU - Dudkin, F. A.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - 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 π1(A) of some labeled graph A. We describe the centralizers of elements and the centralizer lattice. Also, we find the centralizer dimension for GBS groups if A is a labeled tree.

AB - 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 π1(A) of some labeled graph A. We describe the centralizers of elements and the centralizer lattice. Also, we find the centralizer dimension for GBS groups if A is a labeled tree.

KW - centralizer dimension

KW - centralizer lattice

KW - generalized Baumslag–Solitar group

KW - generalized Baumslag-Solitar group

UR - http://www.scopus.com/inward/record.url?scp=85049326910&partnerID=8YFLogxK

U2 - 10.1134/S0037446618030035

DO - 10.1134/S0037446618030035

M3 - Article

AN - SCOPUS:85049326910

VL - 59

SP - 403

EP - 414

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 14316605