Trevor Nakamura

collaborators

3 papers

math.GR2023

Quotients of the braid group that are extensions of the symmetric group

Matthew B. Day, Trevor Nakamura

We consider normal subgroups $N$ of the braid group $B_{n}$ such that the quotient $B_{n} / N$ is an extension of the symmetric group by an abelian group. We show that, if $n \geq 4$ , the…

math.GT2023

A 3-skeleton for a classifying space for the symmetric group

Matthew B. Day, Trevor Nakamura

We construct a 3-dimensional cell complex that is the 3-skeleton for an Eilenberg--MacLane classifying space for the symmetric group $S_{n}$ . Our complex starts with the p…

math.AT2021

The Cohomology of the Mod 4 Braid Group

Trevor Nakamura

The mod 4 braid group, $Z_{n}$ , is defined to be the quotient of the braid group by the subgroup of the pure braid group generated by squares of all elements. Kordek and…