Tornehave morphisms III: the reduced Tornehave morphism and the Burnside unit functor

Date
2016
Authors
Barker, L.
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Source Title
Journal of Algebra
Print ISSN
1090-266X
Electronic ISSN
0021-8693
Publisher
Elsevier
Volume
446
Issue
Pages
19 - 33
Language
English
Type
Article
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Abstract

We shall show that a morphism anticipated by Tornehave induces (and helps to explain) Bouc's isomorphism relating a quotient of the Burnside unit functor (measuring a difference between real and rational representations of finite 2-groups) and a quotient of the kernel of linearization (measuring a difference between rhetorical and rational 2-biset functors). © 2015 Elsevier Inc.

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Keywords
Burnside ring, Exponential morphism, Primary 19A22, Rational biset functor, Secondary 20C15
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Published Version (Please cite this version)