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.
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Original Russian Text Copyright © 2018 Dudkin F.A.
The work is supported by the Russian Science Foundation (project 14–21–00065).
Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, vol. 59, no. 3, pp. 514–528, May–June, 2018
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Dudkin, F.A. On the Centralizer Dimension and Lattice of Generalized Baumslag–Solitar Groups. Sib Math J 59, 403–414 (2018). https://doi.org/10.1134/S0037446618030035
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DOI: https://doi.org/10.1134/S0037446618030035