Chromatic fixed point theory and the Balmer spectrum for extraspecial 2-groups

Autor: Kuhn, Nicholas J., Lloyd, Christopher J. R.
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: In the early 1940's, P.A.Smith showed that if a finite p-group G acts on a finite complex X that is mod $p$ acyclic, then its space of fixed points, X^G, will also be mod p acyclic. In their recent study of the Balmer spectrum of equivariant stable homotopy theory, Balmer and Sanders were led to study chromatic versions of this statement, with the question: given HComment: In the revised version, additional comments and clarifications have been added throughout. In particular, section 6 now has a much expanded exposition of the proof of the paper's key theorem: the deduction of chromatic Floyd theorems from chromatic Smith theorems. The paper is now 42 pages, rather than 33
Databáze: arXiv