On $H*(C; k×)$ for fusion systems

Markus Linckelmann

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)203-218
Number of pages16
JournalHomology, Homotopy and Applications
Volume11
Issue number1
Publication statusPublished - 2009

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Gluing
Cocycle
Fusion
Existence and Uniqueness of Solutions
Finite Group

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On $H*(C; k×)$ for fusion systems. / Linckelmann, Markus.

In: Homology, Homotopy and Applications, Vol. 11, No. 1, 2009, p. 203-218.

Research output: Contribution to journalArticle

Linckelmann, M 2009, 'On $H*(C; k×)$ for fusion systems', Homology, Homotopy and Applications, vol. 11, no. 1, pp. 203-218.
Linckelmann, Markus. / On $H*(C; k×)$ for fusion systems. In: Homology, Homotopy and Applications. 2009 ; Vol. 11, No. 1. pp. 203-218.
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