Matthew B. Day

collaborators

2 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…