A Tate cohomology sequence for generalized Burnside rings

DOI10.1016/j.jpaa.2008.11.025zbMath1169.19001OpenAlexW1989479254MaRDI QIDQ1013105

Olcay Coşkun, Ergün Yalçın

Publication date: 16 April 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11693/22701

zbMATH Keywords

Burnside ringTate cohomologyMackey functormark homomorphismMackey algebra

Mathematics Subject Classification ID

Cohomology of groups (20J06) Frobenius induction, Burnside and representation rings (19A22)

Related Items (3)

Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group ⋮ Ring of subquotients of a finite group. II: Pure bisets ⋮ The fibered Burnside group of a fusion system

Cites Work

• Generalized Burnside rings and group cohomology
• Transformation groups and representation theory
• A general theory of canonical induction formulae
• Mackey functors, induction from restriction functors and coinduction from transfer functors
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Some remarks on G-functors and the Brauer morphism.
• The Structure of Mackey Functors
• Crossed Burnside rings. I: The fundamental theorem
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