Group cohomology with coefficients in a crossed module
2010 ◽
Vol 10
(2)
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pp. 359-404
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AbstractWe compare three different ways of defining group cohomology with coefficients in a crossed module: (1) explicit approach via cocycles; (2) geometric approach via gerbes; (3) group theoretic approach via butterflies. We discuss the case where the crossed module is braided and the case where the braiding is symmetric. We prove the functoriality of the cohomologies with respect to weak morphisms of crossed modules and also prove the ‘long’ exact cohomology sequence associated to a short exact sequence of crossed modules and weak morphisms.
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2003 ◽
Vol 10
(1)
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pp. 99-114
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2011 ◽
Vol 151
(3)
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pp. 471-502
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2012 ◽
Vol 11
(05)
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pp. 1250096
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1993 ◽
Vol 54
(3)
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pp. 393-419
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2019 ◽
Vol 28
(13)
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pp. 1940012
1984 ◽
Vol 27
(2)
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pp. 247-250
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1987 ◽
Vol 29
(1)
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pp. 13-19
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