The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes

DOI10.1515/jgth-2016-0006zbMath1370.20009arXiv1310.5512OpenAlexW2332818441MaRDI QIDQ311045

Britta Späth, Shigeo Koshitani

Publication date: 28 September 2016

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5512

zbMATH Keywords

blockAlperin's weight conjecturevertexGreen correspondenceAlperin-McKay conjecturedefect group

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (32)

Equivariant character correspondences and inductive McKay condition for type \(\mathsf{A}\) ⋮ Equivariant correspondences and the inductive Alperin weight condition for type 𝖠 ⋮ Inductive blockwise Alperin weight condition for type \(\mathsf{B}\) and odd primes ⋮ The inductive blockwise Alperin weight condition for \(G_{2}(q)\) and \(^3D_4(q)\) ⋮ Alperin weight conjecture and related developments ⋮ Quasi-isolated blocks and the Alperin–McKay conjecture ⋮ Inertial blocks and equivariant basic Morita equivalences ⋮ The inductive blockwise Alperin weight condition for certain 2-blocks with abelian defect groups ⋮ Refinements of the orthogonality relations for blocks ⋮ On the Alperin-McKay conjecture for simple groups of type A ⋮ The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_n(q)\) with \((n,q - 1)=1\) ⋮ The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_{n}(q)\) and \(\mathrm{PSU}_{n}(q)\) with cyclic outer automorphism groups ⋮ Finite groups with odd Sylow automizers ⋮ A criterion for the inductive Alperin weight condition ⋮ On Héthelyi-Külshammer's conjecture for principal blocks ⋮ On the inductive blockwise Alperin weight condition for type \(\mathsf{A}\) ⋮ Height zero characters in principal blocks ⋮ Radical subgroups and the inductive blockwise Alperin weight conditions for \(\mathrm{PSp}_4(q)\) ⋮ The inductive blockwise Alperin weight condition for \(\text{PSp}_{2n}(q)\) and odd primes ⋮ The blocks and weights of finite special linear and unitary groups ⋮ Isotypies for the quasisimple groups with exceptional Schur multiplier ⋮ On the inductive Alperin-McKay condition for simple groups of type \(\mathsf A\). ⋮ A reduction theorem for Dade's projective conjecture ⋮ The inductive Alperin-McKay condition for 2-blocks with cyclic defect groups. ⋮ The inductive blockwise Alperin weight condition for PSL(3, 4) ⋮ Finite groups with odd Sylow normalizers ⋮ On the inductive blockwise Alperin weight condition for classical groups ⋮ An equivariant bijection between irreducible Brauer characters and weights for \(\mathrm{Sp}(2n,q)\) ⋮ Descent equalities and the inductive McKay condition for types \(\mathsf{B}\) and \(\mathsf{E}\) ⋮ Clifford theory of characters in induced blocks ⋮ The McKay Conjecture for Finite Groups with Abelian Sylow 3-Subgroups ⋮ The inductive blockwise Alperin weight condition for PSU(4, 3) and PSU(6, 2)

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