Kevin Kordek

most citedSmall Quotients of Braid Groups

5 citations · 5 across the 2 of their papers we have counts for

collaborators

4 papers

math.GT2020★ 5 cited

Small Quotients of Braid Groups

Noah Caplinger, Kevin Kordek

We prove that the symmetric group $S_{n}$ is the smallest non-cyclic quotient of the braid group $B_{n}$ for $n = 5, 6$ and that the alternating group $A_{n}$ is the smallest non-trivial qu…

math.GT2019

Finite quotients of braid groups

Alice Chudnovsky, Kevin Kordek, Qiao Li +1

We derive a lower bound on the size of finite non-cyclic quotients of the braid group that is superexponential in the number of strands. We also derive a similar lower bound for no…

math.GT2019

The commutator subgroup of the braid group is generated by two elements

Kevin Kordek

For $n$ at least 7 and $n$ equal to 5, we give generating sets of size 2 for the commutator subgroup of the braid group on $n$ strands. These generating sets are of the smallest po…

math.GT2019

Representation stability in the level 4 braid group

Kevin Kordek, Dan Margalit

We investigate the cohomology of the level 4 subgroup of the braid group, namely, the kernel of the mod 4 reduction of the Burau representation at $t = - 1$ . This group is also equal…