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- W2056569514 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 $${mathcal{L}}$$ have finite cohomological dimension, type FP ∞ 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 $${mathcal{L}}$$ is either free pro-p or abelian." @default.
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- W2056569514 date "2009-10-03" @default.
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- W2056569514 title "On pro-p analogues of limit groups via extensions of centralizers" @default.
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- W2056569514 doi "https://doi.org/10.1007/s00209-009-0611-y" @default.
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