A sharp threshold for collapse of the random triangular group
Sylwia Antoniuk
Adam Mickiewicz University, Poznán, PolandEhud Friedgut
Weizmann Institute of Science, Rehovot, IsraelTomasz Łuczak
Adam Mickiewicz University, Poznán, Poland
![A sharp threshold for collapse of the random triangular group cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ggd-volume-11-issue-3.png&w=3840&q=90)
Abstract
The random triangular group is the group given by a random group presentation with generators in which every relator of length three is present independently with probability . We show that in the evolution of the property of collapsing to the trivial group admits a very sharp threshold.
Cite this article
Sylwia Antoniuk, Ehud Friedgut, Tomasz Łuczak, A sharp threshold for collapse of the random triangular group. Groups Geom. Dyn. 11 (2017), no. 3, pp. 879–890
DOI 10.4171/GGD/417