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Fπ -residuality of generalized Baumslag–Solitar groups. / Dudkin, F. A.

In: Archiv der Mathematik, Vol. 114, No. 2, 01.02.2020, p. 129-134.

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

Harvard

Dudkin, FA 2020, 'Fπ -residuality of generalized Baumslag–Solitar groups', Archiv der Mathematik, vol. 114, no. 2, pp. 129-134. https://doi.org/10.1007/s00013-019-01404-8

APA

Dudkin, F. A. (2020). Fπ -residuality of generalized Baumslag–Solitar groups. Archiv der Mathematik, 114(2), 129-134. https://doi.org/10.1007/s00013-019-01404-8

Vancouver

Dudkin FA. Fπ -residuality of generalized Baumslag–Solitar groups. Archiv der Mathematik. 2020 Feb 1;114(2):129-134. doi: 10.1007/s00013-019-01404-8

Author

Dudkin, F. A. / Fπ -residuality of generalized Baumslag–Solitar groups. In: Archiv der Mathematik. 2020 ; Vol. 114, No. 2. pp. 129-134.

BibTeX

@article{34625fcbf7eb445995cf0853f1092070,
title = "Fπ -residuality of generalized Baumslag–Solitar groups",
abstract = "A generalized Baumslag–Solitar group is a finitely generated group that acts on a tree with infinite cyclic edge and vertex stabilizers. A group G is residually a finite π-group, for a set of primes π, if every non-trivial element of G has non-trivial image in a quotient of G that is a finite π-group. We provide a criterion for generalized Baumslag–Solitar groups to be residually a finite π-group.",
keywords = "Baumslag–Solitar group, Generalized Baumslag–Solitar group, Residual finiteness, Residual π-finiteness",
author = "Dudkin, {F. A.}",
year = "2020",
month = feb,
day = "1",
doi = "10.1007/s00013-019-01404-8",
language = "English",
volume = "114",
pages = "129--134",
journal = "Archiv der Mathematik",
issn = "0003-889X",
publisher = "Birkhauser Verlag Basel",
number = "2",

}

RIS

TY - JOUR

T1 - Fπ -residuality of generalized Baumslag–Solitar groups

AU - Dudkin, F. A.

PY - 2020/2/1

Y1 - 2020/2/1

N2 - A generalized Baumslag–Solitar group is a finitely generated group that acts on a tree with infinite cyclic edge and vertex stabilizers. A group G is residually a finite π-group, for a set of primes π, if every non-trivial element of G has non-trivial image in a quotient of G that is a finite π-group. We provide a criterion for generalized Baumslag–Solitar groups to be residually a finite π-group.

AB - A generalized Baumslag–Solitar group is a finitely generated group that acts on a tree with infinite cyclic edge and vertex stabilizers. A group G is residually a finite π-group, for a set of primes π, if every non-trivial element of G has non-trivial image in a quotient of G that is a finite π-group. We provide a criterion for generalized Baumslag–Solitar groups to be residually a finite π-group.

KW - Baumslag–Solitar group

KW - Generalized Baumslag–Solitar group

KW - Residual finiteness

KW - Residual π-finiteness

UR - http://www.scopus.com/inward/record.url?scp=85075261579&partnerID=8YFLogxK

U2 - 10.1007/s00013-019-01404-8

DO - 10.1007/s00013-019-01404-8

M3 - Article

AN - SCOPUS:85075261579

VL - 114

SP - 129

EP - 134

JO - Archiv der Mathematik

JF - Archiv der Mathematik

SN - 0003-889X

IS - 2

ER -

ID: 22407775