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On pro-$p$ analogues of limit groups via extensions of centralizers
Group Theory extensions of centralizers limit groups pro-$p$ analogues
2011/9/5
Abstract: We begin a study of a pro-$p$ analogue of limit groups via extensions of centralizers and call $\mathcal{L}$ this new class of pro-$p$ groups. We show that the pro-$p$ groups of $\mathcal{L}...
Centralizers in R. Thompson's group V_n
Centralizers R. Thompson's group Group Theory Dynamical Systems
2011/8/25
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 g...
Arithmetic properties of centralizers of diffeomorphisms of the half-line
Arithmetic properties centralizers diffeomorphisms
2010/11/22
Let f be a smooth diffeomorphism of the half-line fixing only the origin and Z^r_f its centralizer in the group of C^r diffeomorphisms. According to well-known results of Szekeres and Kopell, Z^1_f i...
The topic of the present paper is the following question. Let G be a locally finite group admitting an automorphism f of finite order such that the centralizer CG(f) satisfies certain finiteness condi...
In this work a sufficient condition is given for an NC-p-group to have an epimorphic image which is an NF-p-group.