منابع مشابه
Automorphisms of principal blocks stabilizing Sylow subgroups
Let p be a prime,G a finite group which has a normal p-subgroup containing its own centralizer inG, and R a commutative local ring with residue class field of characteristic p. In this paper, it is shown that if α is an augmented automorphism of RG which fixes a Sylow p-subgroup P of G, there is ρ ∈ Aut(G) such that xαρ = x for all x ∈ P , and αρ is an inner automorphism of RG.
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Let G be a finite group with Sylow 2-subgroup P 6 G. Navarro–Tiep–Vallejo have conjectured that the principal 2-block of NG(P) contains exactly one irreducible Brauer character if and only if all odd-degree ordinary irreducible characters in the principal 2-block of G are fixed by a certain Galois automorphism σ. By recent work of Navarro–Vallejo it suffices to show this conjecture holds for al...
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Abstract. The principal graph X of a subfactor with finite Jones index is one of the important algebraic invariants of the subfactor. If ∆ is the adjacency matrix of X we consider the equation ∆ = U + U. When X has square norm ≤ 4 the spectral measure of U can be averaged by using the map u → u, and we get a probability measure ε on the unit circle which does not depend on U . We find explicit ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2016.10.018