On the focal defect group of a block, characters of height zero, and lower defect group multiplicities
نویسندگان
چکیده
منابع مشابه
Defect of characters of the symmetric group
Following the work of B. Külshammer, J. B. Olsson and G. R. Robinson on generalized blocks of the symmetric groups, we give a definition for the l-defect of characters of the symmetric group Sn, where l > 1 is an arbitrary integer. We prove that the l-defect is given by an analogue of the hook-length formula, and use it to prove, when n < l, an l-version of the McKay Conjecture in Sn.
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faculty of psychology and social sciences group of anthropology master thesis in major of anthropology
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An Alternating Sum Formula for Multiplicities of Lower Defect Groups
Let G be a finite group and let k be an algebraically closed field of prime characteristic p. Let 5 b e a block of kG, P a /^-subgroup of G and n a /(-element of G. Then the multiplicity of P as a lower defect group of B for the /^-section of n is defined [1, 2, 4] and is denoted by mB(P). We shall prove the following induction theorem for mB(P) in terms of the Brown complex A of chains of non-...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2008
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2008.04.032