Results 1 to 10 of about 775 (63)
Structure of blocks with normal defect and abelian $p'$ inertial quotient
Forum of Mathematics, Sigma, 2023 Let k be an algebraically closed field of prime characteristic p. Let $kGe$ be a block of a group algebra of a finite group G, with normal defect group P and abelian $p'$ inertial quotient L.
David Benson +2 more
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Weights in a Benson-Solomon block
Forum of Mathematics, Sigma, 2023 To each pair consisting of a saturated fusion system over a p-group together with a compatible family of Külshammer-Puig cohomology classes, one can count weights in a hypothetical block algebra arising from these data.
Justin Lynd, Jason Semeraro
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The construction of nuclei for normal constituents of Bπ-characters
Open Mathematics, 2023 Let GG be a π\pi -separable group for some set π\pi of primes, let χ∈Bπ(G)\chi \in {B}_{\pi }\left(G) and let N◃GN\hspace{0.33em}\triangleleft \hspace{0.33em}G. In this article, we explore how to construct a nucleus for an irreducible constituent of χN{\
Jin Jun, Zhang Junwei
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Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain [PDF]
, 2008 It is shown that solutions of the Neumann problem for the Poisson equation in an arbitrary convex $n$-dimensional domain are uniformly Lipschitz. Applications of this result to some aspects of regularity of solutions to the Neumann problem on convex ...
Maz'ya, Vladimir
core +3 more sources
Blocks of minimal dimension [PDF]
, 2007 Any block with defect group P of a finite group G with Sylow-p-subgroup S has dimension at least |S|2/|P|; we show that a block which attains this bound is nilpotent, answering a question of G.
Linckelmann, M.
core +1 more source
Lifting endo-$p$-permutation modules [PDF]
, 2017 We prove that all endo-$p$-permutation modules for a finite group are liftable from characteristic $p>0$ to characteristic $0$
Lassueur, Caroline, Thévenaz, Jacques
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James' Submodule Theorem and the Steinberg Module [PDF]
, 2017 James' submodule theorem is a fundamental result in the representation theory of the symmetric groups and the finite general linear groups. In this note we consider a version of that theorem for a general finite group with a split $BN$-pair.
Geck, Meinolf
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On blocks of strongly p-solvable groups [PDF]
, 2006 We prove that a block of a finite strongly p-solvable group G with defect group P is Morita equivalent to its corresponding block of NG(Z(J(P))) via a bimodule with endo-permutation ...
Kessar, R., Linckelmann, M.
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A progenerator for representations of SL(n,q) in transverse characteristic
, 2011 Let G=GL(n,q), SL(n,q) or PGL(n,q) where q is a power of some prime number p, let U denote a Sylow p-subgroup of G and let R be a commutative ring in which p is invertible.
Bonnafé, Cédric
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Groups which do not admit ghosts [PDF]
, 2007 A ghost in the stable module category of a group G is a map between representations of G that is invisible to Tate cohomology. We show that the only non-trivial finite p-groups whose stable module categories have no non-trivial ghosts are the cyclic ...
Chebolu, Sunil K. +2 more
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