The non-principal 2-blocks of sporadic simple groups*

DOI10.1080/00927877808822326zbMath0387.20010OpenAlexW1971282850MaRDI QIDQ4169039

Peter Landrock

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1080/00927877808822326

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05)

Related Items

On the \(p\)-deficiency class of a finite group, 2-Blocks with minimal nonabelian defect groups II, The Alperin and Dade conjectures for the simple Held group, Morita equivalence classes of tame blocks of finite groups, Quasi-isolated blocks and Brauer's height zero conjecture., On restriction of characters to defect groups, Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\)., Nilpotent blocks of quasisimple groups for the prime two., Prime graph components of finite groups, Robinson’s conjecture on heights of characters, The brauer characters of the hall-janko group, Modular representations of the hall-janko group, Brauer's height zero conjecture for quasi-simple groups, The Brauer characters of the sporadic simple Harada–Norton group and its automorphism group in characteristics 2 and 3, Blocks with extraspecial defect groups of finite quasisimple groups., The structure of blocks with a Klein four defect group., The Solomon system \({\mathcal F}_{\text{Sol}}(3)\) does not occur as fusion system of a 2-block., The 2-modular characters of the Fischer group \(Fi_{23}\)., The characters of some 2-blocks of the babymonster, its covering group and the monster, Decomposition numbers of the group \(\mathcal J_ 2\), Finite linear groups of degree 6, The vertices of the simple modules of \(M_{12}\) over a field of characteristic 2

Cites Work

• Unnamed Item
• The modular characters of the Mathieu groups
• On 2-blocks with quaternion and quasihedral defect groups
• A new finite simple group of order 86,775,571,046,077,562,880 which possesses \(M_{24}\) and the full covering group of \(M_{22}\) as subgroups
• Block structure of the smallest Janko group
• The principal block of finite groups with dihedral Sylow 2-subgroups
• The irreducible characters of the simple group of M. Suzuki of order 448, 345, 497, 600
• Construction of the Rudvalis group of order 145,926,144,000
• The simple group of order 604,800
• The simple groups related to \(M_{24}\)
• Finite simple groups whose Sylow 2-subgroups are of order \(2^ 7\)
• A new finite simple group with abelian Sylow 2-subgroups and its characterization
• Some applications of the theory of blocks of characters of finite groups. I
• Representations of algebraic groups of type \(F_ 4\) in characteristic 2
• Computation of characters of the Higman-Sims group and its automorphism group
• Evidence for a new finite simple group
• Finite groups generated by 3-transpositions. I
• A characterization of Conway's group .3
• The characters of some 2-blocks of the babymonster, its covering group and the monster
• On Groups All of whose 2-Blocks Have the Highest Defects
• Character tables of certain finite simple groups