most citedSmallest non-cyclic quotients of braid and mapping class groups

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.GT2021★ 1 cited

Smallest non-cyclic quotients of braid and mapping class groups

Sudipta Kolay

We show that the smallest non-cyclic quotients of braid groups are symmetric groups, proving a conjecture of Margalit. Moreover we recover results of Artin and Lin about the classi…

math.GT2021

Smallest nontrivial quotients of the commutator subgroup of braid groups

Sudipta Kolay

We prove that the smallest non-trivial quotients of the commutator subgroups of the braid groups are the alternating groups, proving a conjecture of Chudnovsky-Kordek-Li-Partin. Fu…

math.GR2021

Smallest non-cyclic quotients of the automorphism group of free groups

Sudipta Kolay

We give an new, elementary proof of the result that the smallest non-cyclic quotients of automorphism group of free group is the linear group over the field of two elements, and mo…