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2009 On $H*(C; k×)$ for fusion systems
Markus Linckelmann
Homology Homotopy Appl. 11(1): 203-218 (2009).


We give a cohomological criterion for the existence and uniqueness of solutions of the $2$-cocycle gluing problem in block theory. The existence of a solution for the $2$-cocycle gluing problem is further reduced to a property of fusion systems of certain finite groups associated with the fusion system of a block.


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Markus Linckelmann. "On $H*(C; k×)$ for fusion systems." Homology Homotopy Appl. 11 (1) 203 - 218, 2009.


Published: 2009
First available in Project Euclid: 1 September 2009

zbMATH: 1245.20066
MathSciNet: MR2506133

Primary: 16E40 , 18G40 , 20C20

Keywords: 2-cocycle , block , Fusion system

Rights: Copyright © 2009 International Press of Boston

Vol.11 • No. 1 • 2009
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