On the \(p\)-blocks of symmetric and alternating groups and their covering groups

DOI10.1016/0021-8693(90)90049-TzbMath0695.20011MaRDI QIDQ909788

Jørn B. Olsson

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

heightdefect groupdouble coveringnumber of irreducible charactersp-blockfinite alternating groupfinite symmetric group

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items (26)

On a minimal counterexample to Brauer's \(k(B)\)-conjecture ⋮ Congruences for the number of spin characters of the double covers of the symmetric and alternating groups ⋮ Quasi-isolated blocks and Brauer's height zero conjecture. ⋮ Degrees and rationality of characters in the principal block of \(A_n\) ⋮ Advances in the Theory of Cores and Simultaneous Core Partitions ⋮ Blocks of small defect in alternating groups and squares of Brauer character degrees ⋮ On restriction of characters to defect groups ⋮ The number of self-conjugate core partitions ⋮ On the number of characters in blocks of quasi-simple groups ⋮ Self-conjugate core partitions and modular forms ⋮ Sylow branching coefficients and a conjecture of Malle and Navarro ⋮ Groups with few 𝑝’-character degrees in the principal block ⋮ Perfect isometries and Murnaghan-Nakayama rules ⋮ Source algebras of blocks, sources of simple modules, and a conjecture of Feit. ⋮ Defect zero blocks for finite simple groups ⋮ Congruences modulo 5 for the number of spin characters of the double covers of the symmetric and alternating groups ⋮ The Isaacs-Navarro conjecture for covering groups of the symmetric and alternating groups in odd characteristic. ⋮ On the number of simple modules in a block of a finite group ⋮ Blocks with extraspecial defect groups of finite quasisimple groups. ⋮ Nilpotent blocks of quasisimple groups for odd primes ⋮ Principal blocks with 5 irreducible characters ⋮ On p-quotients for spin characters ⋮ On Cartan matrices and lower defect groups for covering groups of symmetric groups ⋮ Simultaneous core partitions with nontrivial common divisor ⋮ THE NAVARRO CONJECTURE FOR THE ALTERNATING GROUPS, p = 2 ⋮ Characters and generation of Sylow 2-subgroups

Cites Work

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• On the number of characters in blocks of finite general linear, unitary and symmetric groups
• Lower defect groups in symmetric groups
• A remark on conjectures in modular representation theory
• Local structure of the p-blocks of \(\tilde S_ n\)
• On p-quotients for spin characters
• Principles of combinatorics
• On Certain Projective Modular Representations of Direct Products
• Blocks of Projective Representations of the Symmetric Groups
• Frobenius symbols for partitions and degrees of spin characters.
• McKay numbers and heights of characters.
• Some combinatorial results involving Young diagrams
• The Spin Representation of the Symmetric Group

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