CATEGORICALLY EQUIVALENT AND ISOTYPIC BLOCKS

[摘要] Let N be a normal subgroup of the finite group G such that G = NC(G)(D) where D is-an-element-of Syl(p) (N). Let (O, K, k) be a p-modular system that is ''big enough,'' let f be the principal block idempotent of Z(ON), and let e be a block idempotent of Z(OG) that covers f and such that D is a defect group of e. Then the categories mod - e(OG) and mod - f(ON) are equivalent, e is of principal type, and the pairs (G, e) and (N, f) are of the same type. (C) 1994 Academic Press, Inc.

[发布日期] 1994-06-01