Tornehave morphisms, II : the lifted Tornehave morphism and the dual of the Burnside functor

Date
2010
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Pure and Applied Algebra
Print ISSN
0022-4049
Electronic ISSN
1873-1376
Publisher
Volume
214
Issue
10
Pages
1759 - 1777
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Series
Abstract

We introduce the lifted Tornehave morphism tornπ : K → B*, an inflation Mackey morphism for finite groups, π being a set of primes, K the kernel of linearization, and B* the dual of the Burnside functor. For p-groups, tornp is unique up to scalar multiples. It induces two morphisms of biset functors, one with a codomain associated with a subgroup of the Dade group, the other with a codomain associated with a quotient of the Burnside unit group.

Course
Other identifiers
Book Title
Keywords
Citation
Published Version (Please cite this version)