BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Finite partial groups are genuinely finite
DTSTART:20260611T100000
DTEND:20260611T110000
DTSTAMP:20260603T152527Z
UID:f0e2f174e4f384574a66c3c706b1a62314ebc562c109b5763f668a9a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Rémi Molinier\, Université Grenoble-Alpes\nPartial groups a
 re\, roughly speaking\, groups in which the product of a given word of ele
 ments may not always be defined. They were introduced by Chermak to study 
 the p-local structure of finite groups and come equipped with a "domain\,"
  which consists in the set of words for which the product is defined. At f
 irst glance\, given a fixed set X\, it may seem possible to define infinit
 ely many partial group structures on X by varying the domains\, even while
  ensuring that all these structures have coherent products. For example\, 
 if G is a finite group\, one might expect that there could be infinitely m
 any different partial group structures "contained" in G by selectively rem
 oving sets of words from the domain.\n\nHowever\, in a joint work with Phi
 lip Hakney\, we show that finite partial groups are truly finite objects: 
 they can be defined using only a finite set of data and\, in particular\, 
 contain only finitely many "partial subgroups." This follows from the fact
  that finite partial groups have finite dimension as symmetric sets. \n\n
 During the talk\, we will explore both the algebraic and topological appro
 aches to partial groups and no prior knowledge of the topic will be assume
 d
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR