The p-blocks of the Mackey algebra
نویسنده
چکیده
Let p be a prime number. This paper describes the primitive idempotents and prime spectrum of the crossed Burnside algebra of a finite group over a p-local ring. The main application is a formula for the block idempotents of the p-local Mackey algebra of the group, in terms of the corresponding blocks of the group algebra. Mathematics Subject Classification (2000): 19A22 20C20
منابع مشابه
On the Cartan matrix of Mackey algebras
Let k be a field of characteristic p > 0, and G be a finite group. The first result of this paper is an explicit formula for the determinant of the Cartan matrix of the Mackey algebra μk(G) of G over k. The second one is a formula for the rank of the Cartan matrix of the cohomological Mackey algebra coμk(G) of G over k, and a characterization of the groups G for which this matrix is non singula...
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