Cohomology on the centric orbit category of a fusion system

Autor:	Glauberman, George, Lynd, Justin
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - Algebraic Topology 55R40 (Primary) 55R35 20J06 20D20 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We study the higher derived limits of mod $p$ cohomology on the centric orbit category of a saturated fusion system on a finite $p$-group. It is an open problem whether all such higher limits vanish. This is known in many cases, including for fusion systems realized by a finite group and for many classes of fusion systems which are not so realized. We prove that the higher limits of $H^j$ vanish provided $j$ is small relative to $p$, by showing that the same is true for the contravariant part of a simple Mackey composition factor of $H^j$ under the same conditions. Comment: v2: 11 pages, minor changes from v1
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.05361 Zobrazit plný text záznamu View this record from Arxiv