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UID:9096@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260522T160000
DTEND;TZID=Europe/Paris:20260522T170000
DTSTAMP:20260508T133918Z
URL:https://www.i2m.univ-amu.fr/evenements/on-the-normal-rank-of-a-group/
SUMMARY:Yash Lodha (Purdue University): On the normal rank of a group
DESCRIPTION:Yash Lodha: A fundamental yet mysterious invariant in group the
 ory is the normal rank of a group. This is the smallest size of a set of e
 lements\, which if included in the set of relations\, render the group tri
 vial. The smallest size of the generating set of the group abelianization 
 provides a natural lower bound for the normal rank. The 1976 Wiegold pro
 blem on perfect groups asks whether there exist finitely generated perfect
  groups whose normal rank is greater than one. In joint work with Lvzhou C
 hen\, we demonstrate that free products of finitely generated perfect left
  orderable groups have normal rank greater than one. This solves the Wie
 gold problem\, since there are a plethora of such examples. I will also d
 iscuss some related open problems and future directions of inquiry.
CATEGORIES:Colloquium
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
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 2ème étage):geo:0,0
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DTSTART:20260329T030000
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