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Cobalanced exact sequences

Anthony Giovannitti, H. Pat Goeters, Claudia Metelli (1989)

Commentationes Mathematicae Universitatis Carolinae

Cogrowth and spectral gap of generic groups

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.

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