Asymptotic dimension of relatively hyperbolic groups
D. V. Osin
Abstract
Suppose that a finitely generated group G is hyperbolic relative to a collection of subgroups \H1, ..., Hm\ . We prove that if each of the subgroups H1, ..., Hm has finite asymptotic dimension, then asymptotic dimension of G is also finite.
Create a lesson
Related papers
The variety generated by all additively idempotent semirings of order four
Mengya Yue, Xiaolei Shao
Generation of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric Groups
Jiaping Lu
Kernel--wreath constructions and infinite families of finite simple skew braces
Marco Damele
Explicit equational bases for the power semirings of S7
Mengya Yue, Miaomiao Ren, Zidong Gao
The free multiplicative Lie algebra L(P) for a finitely generated parafree group P
Dessislava H. Kochloukova
An order automorphism of a Dlab group not induced by conjugation
Ting Gong, Yong Yang, Michael Ruofan Zeng