Year: 2026
Type: article
Abstract: We prove that for finitely generated abelian groups $A$ A and $B$ B , the space of $\mathbb{E}_{\infty }$ E ∞ -ring maps between the spherical groups rings $\mathbb{S}[A] \to \mathbb{S}[B]$ S [ A ] → S [ B ] is equivalent to the discrete set of group homomorphisms $A \to B$ 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 $R[A]$ R [ A ] for $A$ A a finite $p$ p -group and $R$ R $p$ p -completely chromatically complete.
Source: Inventiones mathematicae
Authors: Shachar Carmeli, Thomas Nikolaus, Allen Yuan
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4396882258