Uniquely compatible transfer systems for cyclic groups of order prqs

Mazur, Kristen, Osorno, Angelica M., Roitzheim, Constanze, Santhanam, Rekha, Van Niel, Danika, Castro, Valentina Zapata (2025) Uniquely compatible transfer systems for cyclic groups of order prqs. Topology and its Applications, 376 . Article Number 109443. ISSN 0166-8641. E-ISSN 1879-3207. (doi:10.1016/j.topol.2025.109443) (KAR id:106048)

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Official URL: https://doi.org/10.1016/j.topol.2025.109443
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Abstract

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=Cpn, 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=Cprqs 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.

Item Type:	Article
DOI/Identification number:	10.1016/j.topol.2025.109443
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	University of Kent (https://ror.org/00xkeyj56)
Depositing User:	Constanze Roitzheim
Date Deposited:	23 May 2024 09:34 UTC
Last Modified:	27 May 2026 23:00 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/106048 (The current URI for this page, for reference purposes)

University of Kent Author Information

Roitzheim, Constanze.

Creator's ORCID:	https://orcid.org/0000-0003-3065-0672
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