2024/05/10 by Carmeli, Shachar, Nikolaus, Thomas, Yuan, Allen
#Algebraic Topology (math.AT) #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2405.06448
We prove that for finitely generated abelian groups A and B, the space of 𝔼_∞-ring maps between the spherical groups rings \mathbbS[A] → \mathbbS[B] is equivalent to the discrete set of group homomorphisms A → B. We also prove generalizations where the sphere is replaced by other ring spectra, e.g. we give a formula for the strict units in group rings of the form R[A] for A a finite p-group and R p-completely chromatically complete.