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math.AT2018
On the mod- homology of the classifying space for commutativity
Cihan Okay, Ben Williams
We study the mod- homotopy type of classifying spaces for commutativity, , at a prime . We show that the mod- homology of dep…
math.RA2018
Bounding the minimal number of generators of an Azumaya algebra
Ben Williams
A paper of U. First & Z. Reichstein proves that if is a commutative ring of dimension , then any Azumaya algebra over can be generated as an algebra by element…
math.KT2018
Motivic spheres and the image of the Suslin--Hurewicz map
Aravind Asok, Jean Fasel, Ben Williams
We show that an old conjecture of A.A. Suslin characterizing the image of a Hurewicz map from Quillen K-theory in degree to Milnor K-theory in degree admits an interpretati…