2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GR2010
Stable W-length
Danny Calegari, Dongping Zhuang
We study stable W-length in groups, especially for W equal to the n-fold commutator gamma_n:=[x_1,[x_2, . . . [x_{n-1},x_n]] . . . ]. We prove that in any perfect group, for any n…
math.GR2008★ 2 cited
Large scale geometry of commutator subgroups
Danny Calegari, Dongping Zhuang
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…
math.GT2007
Irrational Stable Commutator Length in Finitely Presented Groups
Dongping Zhuang
We give examples of finitely presented groups containing elements with irrational (in fact, transcendental) stable commutator length, thus answering in the negative a question of M…