Cancellation of Abelian groups of finite rank modulo elementary equivalence.
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Francis Oger (1990)
Mathematica Scandinavica
Yann Ollivier (2005)
Annales de l’institut Fourier
The cogrowth exponent of a group controls the random walk spectrum. We prove that for a generic group (in the density model) this exponent is arbitrarily close to that of a free group. Moreover, this exponent is stable under random quotients of torsion-free hyperbolic groups.
Jon Michael Corson (1993)
Mathematische Zeitschrift
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