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UID:7191@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20181123T110000
DTEND;TZID=Europe/Paris:20181123T120000
DTSTAMP:20241207T133128Z
URL:https://www.i2m.univ-amu.fr/evenements/universal-groups-of-cellular-au
 tomata-ville-salo/
SUMMARY:Ville Salo (University of Turku): Universal groups of cellular auto
 mata
DESCRIPTION:Ville Salo: The full shift is the topological dynamical system 
 of bi-infinite sequences over a finite alphabet under the shift map. Its a
 utomorphism group\, the group of (reversible) cellular automata\, has a ri
 ch family of finitely-generated subgroups\, including all finite\, f.g. ab
 elian and f.g. free groups\, and several groups with undecidable torsion p
 roblem. Many closure properties are also known for this family\, such as c
 losure under direct products and free products. The group itself is not fi
 nitely-generated.\nNevertheless\, we show that there is a finitely-generat
 ed subgroup that is universal\, in the sense that it contains an embedded 
 copy of every other finitely-generated subgroup. https://arxiv.org/abs/180
 8.08697\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Ville_Salo.jpg
CATEGORIES:Séminaire,Rauzy
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DTSTART:20181028T020000
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