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Centralizers in R. Thompson's group V_n | | Collin Bleak
; Hannah Bowman
; Alison Gordon
; Garrett Graham
; Jacob Hughes
; Francesco Matucci
; Jenya Sapir
; | | Date: |
4 Jul 2011 | | Abstract: | Let n be bigger than 1 and let A be an element in the Higman-Thompson group
V_n. We study the structure of the centralizer of a in V_n through a careful
analysis of the action of the group generated by A on the Cantor set C. We make
use of revealing tree pairs as developed by Brin and Salazar from which we
derive discrete train tracks to assist us in our analysis. A consequence of our
structure theorem is that centralizers are finitely generated. Along the way we
give a short argument using revealing tree pairs which shows that cyclic groups
are undistorted in V_n. | | Source: | arXiv, 1107.0672 | | Services: | Forum | Review | PDF | Favorites | |
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