Email this article On the Centralizer Dimension and Lattice of Generalized Baumslag–Solitar Groups
- Authors: Dudkin F.A.1
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Affiliations:
- Sobolev Institute of Mathematics Novosibirsk State University
- Issue: Vol 59, No 3 (2018)
- Pages: 403-414
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171847
- DOI: https://doi.org/10.1134/S0037446618030035
- ID: 171847
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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.
About the authors
F. A. Dudkin
Sobolev Institute of Mathematics Novosibirsk State University
Author for correspondence.
Email: DudkinF@ngs.ru
Russian Federation, Novosibirsk
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