Random group - Wikipedia
https://en.wikipedia.org › wiki › Random_groupThe definition of random groups depends on a probabilistic model on the set of possible groups. Various such probabilistic models yield different (but related) notions of random groups. Any group can be defined by a group presentation involving generators and relations. For instance, the Abelian group has a presentation with two generators and , and the relation , or equivalently . The main idea of random groups is to start with a fixed number of group generators , and imposing re…