On the normal rank of a group
Yash Lodha
Purdue University
https://yl7639.wixsite.com/website
Date(s) : 22/05/2026 iCal
16h00 - 17h00
A fundamental yet mysterious invariant in group theory is the normal rank of a group. This is the smallest size of a set of elements, which if included in the set of relations, render the group trivial. The smallest size of the generating set of the group abelianization provides a natural lower bound for the normal rank. The 1976 Wiegold problem on perfect groups asks whether there exist finitely generated perfect groups whose normal rank is greater than one. In joint work with Lvzhou Chen, we demonstrate that free products of finitely generated perfect left orderable groups have normal rank greater than one. This solves the Wiegold problem, since there are a plethora of such examples. I will also discuss some related open problems and future directions of inquiry.
Emplacement
Saint-Charles - FRUMAM (2ème étage)
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