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arXiv · 1207.4650

Arbitrary p-Gradient Values

Nathaniel Pappas
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Abstract

For any prime number p and any positive real number {\alpha}, we construct a finitely generated group {\Gamma} with p-gradient equal to {\alpha}. This construction is used to show that there exist uncountably many pairwise non-commensurable groups that are finitely generated, infinite, torsion, non-amenable, and residually-p.

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Nathaniel Pappas. 2012-07-19. Arbitrary p-Gradient Values. https://arxiv.org/abs/1207.4650

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