Mathematics – Group Theory
Scientific paper
2008-07-29
Algebr. Geom. Topol. 8 (2008) no. 4, 2131-2146
Mathematics
Group Theory
12 pages, 2 figures; version 2 incorporates referee's comments
Scientific paper
Let G be a finitely presented group, and G' its commutator subgroup. Let C be
the Cayley graph of G' with all commutators in G as generators. Then C is large
scale simply connected. Furthermore, if G is a torsion-free nonelementary
word-hyperbolic group, C is one-ended. Hence (in this case), the asymptotic
dimension of C is at least 2.
Calegari Danny
Zhuang Dongping
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