Random presentations and random subgroups: a survey

Frédérique Bassino (1) , Cyril Nicaud (2) , Pascal Weil (3)

1 LIPN - Laboratoire d'Informatique de Paris-Nord
2 LIGM - Laboratoire d'Informatique Gaspard-Monge
3 LaBRI - Laboratoire Bordelais de Recherche en Informatique

This is a survey of results on random group presentations, and on random subgroups of certain fixed groups. Being a survey, this paper does not contain new results, but it offers a synthetic view of a part of this very active field of research.

Domaines: Théorie des groupes [math.GR]

Frédérique Bassino, Cyril Nicaud, Pascal Weil. Random presentations and random subgroups: a survey. 2017. ⟨hal-01456207v1⟩