Groups, Geometry, and Dynamics


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Volume 2, Issue 3, 2008, pp. 383–404
DOI: 10.4171/GGD/45

On group-theoretic models of randomness and genericity

Ilya Kapovich[1] and Paul Schupp[2]

(1) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W Green Street, IL 61801-2975, URBANA, UNITED STATES
(2) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W Green Street, IL 61801-2975, URBANA, UNITED STATES

We compare Gromov's density model of random groups with the Arzhantseva–Ol’shanskii model of genericity.

Keywords: Genericity, random groups, small cancellation groups

Kapovich Ilya, Schupp Paul: On group-theoretic models of randomness and genericity. Groups Geom. Dyn. 2 (2008), 383-404. doi: 10.4171/GGD/45