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|Type:||Artigo de periódico|
|Title:||On pro-p analogues of limit groups via extensions of centralizers|
|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.|
|Citation:||Mathematische Zeitschrift. Springer, v. 267, n. 41671, n. 109, n. 128, 2011.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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