Inverting Integers in Tambara Functors
Group Theory
2026-01-27 v2 Algebraic Topology
Representation Theory
Abstract
Let be a finite group, and an integer. In this note, we show that for any -Tambara functor and any subgroups , is a unit in if and only if is a unit in . In other words, one may speak unambiguously of the localization . As a consequence, the norm functors commute with inverting .
Cite
@article{arxiv.2510.25891,
title = {Inverting Integers in Tambara Functors},
author = {Ben Spitz},
journal= {arXiv preprint arXiv:2510.25891},
year = {2026}
}
Comments
9 pages, final version (to appear in Proceedings of the AMS)