Year: 2026
Type: preprint
Abstract: Generalizing known results for $G=C_2$ and constant $\underline{\mathbb{F}}_2$-coefficients, we show the $RO(G)$-graded Bredon cohomology of a point with constant $\underline{k}$-coefficients is self-injective whenever $G$ is a finite subgroup of $SO(3)$ and $k$ is a finite field. Self-injectivity holds more generally for the $RO(G)$-graded homotopy of the Eilenberg--MacLane spectrum associated to a $k$-linear commutative Green functor $M$, whenever the spectrum $HM$ is Anderson self-dual.
Source: arXiv (Cornell University)
Authors: Hogle, Eric, May, Clover, Zou, Foling
Institution: Gonzaga University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223846796