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- W2022756916 abstract "Let [Sfr ]n and [Afr ]n denote the symmetric and alternating groups of degree n∈ℕ respectively. Let p be a prime number and let F be an arbitrary field of characteristic p. We say that a partition of n is p-regular if no p (non-zero) parts of it are equal; otherwise we call it p-singular. Let SλF denote the Specht module corresponding to λ. For λ a p-regular partition of n let DλF denote the unique irreducible top factor of SλF. Denote by ΔλF =DλF ↓[Afr ]n its restriction to [Afr ]n. Recall also that, over F, the ordinary quiver of the modular group algebra FG is a finite directed graph defined as follows: the vertices are labelled by the set of all simple FG-modules, L1, ..., Lr, and the number of arrows from Li to Lj equals dimFExtFG(Li, Lj). The quiver gives important information about the block structure of G." @default.
- W2022756916 created "2016-06-24" @default.
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- W2022756916 date "1997-11-01" @default.
- W2022756916 modified "2023-09-27" @default.
- W2022756916 title "On the ordinary quiver of the symmetric group over a field of characteristic 2" @default.
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- W2022756916 doi "https://doi.org/10.1017/s0305004197001680" @default.
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