The Frobenius P-category of a block
3.1 Let G be a finite group, k an algebraically closed field of characteristic p, b a primitive idempotent of the center Z(kG) of the group algebra kG — so that (b, G) is a block, or b is a block of G (cf. 1.10) — and (P, e) a maximal Brauer (b, G)-pair (cf. 1.15). In this chapter, we describe the Frobenius P-category F(b,G) associated with (b, G); although strictly speaking it depends on the choice of (P, e), it will be immediately clear that the different choices determine equivalent categories and that this dependence is ultimately unessential.
KeywordsFinite Group Interesting Case Pointed Group Group Algebra Group Homomorphism
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