A sharp threshold for collapse of the random triangular group

作者：Antoniuk Sylwia^*; Friedgut Ehud; Luczak Tomasz

来源：Groups, Geometry, and Dynamics, 2017, 11(3): 879-890.

DOI：10.4171/GGD/417

• Random group
• collapse
• sharp threshold
• torsion-free

The random triangular group Gamma(n.p) is the group given by a random group presentation with n generators in which every relator of length three is present independently with probability p. We show that in the evolution of Gamma(n,p) the property of collapsing to the trivial group admits a very sharp threshold.

• 出版日期2017