Uniquely compatible transfer systems for cyclic groups of order $p^rq^s$

Autor:	Mazur, Kristen, Osorno, Angelica M., Roitzheim, Constanze, Santhanam, Rekha, Van Niel, Danika, Castro, Valentina Zapata
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Topology Mathematics - Combinatorics 55P91 55N91 06A07
Druh dokumentu:	Working Paper
Popis:	Bi-incomplete Tambara functors over a group $G$ can be understood in terms of compatible pairs of $G$-transfer systems. In the case of $G = C_{p^n}$ , Hill, Meng and Li gave a necessary and sufficient condition for compatibility and computed the exact number of compatible pairs. In this article, we study compatible pairs of $G$-transfer systems for the case $G = C_{p^rq^s}$ and identify conditions when such transfer systems are uniquely compatible in the sense that they only form trivially compatible pairs. This gives us new insight into collections of norm maps that are relevant in equivariant homotopy theory. Comment: 22 pages, to appear in Topology and its Applications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.13523 Zobrazit plný text záznamu View this record from Arxiv