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Type: Artigo de periódico
Title: On pro-p analogues of limit groups via extensions of centralizers
Author: Kochloukova, DH
Zalesskii, PA
Abstract: We begin a study of a pro-p analogue of limit groups via extensions of centralizers and call L this new class of pro-p groups. We show that the pro-p groups of L have finite cohomological dimension, type FP(infinity) and non-positive Euler characteristic. Among the group theoretic properties it is proved that they are free-by-(torsion free nilpotent) and if non-abelian do not have a finitely generated non-trivial normal subgroup of infinite index. Furthermore it is shown that every 2 generated pro-p group in the class L is either free pro-p or abelian.
Country: EUA
Editor: Springer
Citation: Mathematische Zeitschrift. Springer, v. 267, n. 41671, n. 109, n. 128, 2011.
Rights: fechado
Identifier DOI: 10.1007/s00209-009-0611-y
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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