Character heights and p -length in blocks of p -solvable groups
نویسندگان
چکیده
منابع مشابه
Character degrees of p-groups and pro-p groups
In the 1970s, Isaacs conjectured that there should be a logarithmic bound for the length of solvability of a p-group G with respect to the number of different irreducible character degrees of G. So far, there are just a few partial results for this conjecture. In this note, we say that a pro-p group G has property (I) if there is a real number D = D(G) that just depends on G such that for any o...
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On the other hand, for control of fusion and other locally controlled phenomona, Alperin-Goldschmidt subpairs play a crucial role. We take this opportunity to remind the reader that when B is a p-block, an Alperin-Goldschmidt B-subpair (U, bU ) is a B-subpair such that bU has defect group Z(U) and Op(NG(U, bU )/UCG(U)) = 1. When B is the principal p-block, the AlperinGoldschmidt B-subpairs may ...
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If G is a finite p-solvable group for some prime p, A a solvable subgroup of the automorphism group of G of order prime to |G| such that A stabilises a p-block b of G and acts trivially on a defect group P of b, then there is a Morita equivalence between the block b and its Watanabe correspondent w(b) of CG(A), given by a bimodule M with vertex ∆P and an endo-permutation module as source, which...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.05.012