Fusion systems on metacyclic 2-groups.

zbMath1247.20025arXiv0908.0783MaRDI QIDQ436046

Benjamin Sambale

Publication date: 28 July 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0783

zbMATH Keywords

defect groupsblocksfusion systemsfinite metacyclic 2-groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Finite nilpotent groups, (p)-groups (20D15)

Related Items (13)

Saturated fusion systems over \(\mathcal {A}_2\)-groups ⋮ On the construction of irreducible characters in \(p\)-blocks with normal metacyclic defect groups. ⋮ The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups ⋮ A note on Olsson's conjecture. ⋮ REAL BLOCKS WITH DIHEDRAL DEFECT GROUPS REVISITED ⋮ 2-blocks with minimal nonabelian defect groups. ⋮ Cartan matrices and Brauer's \(k(B)\)-conjecture. II. ⋮ The Brauer indecomposability of Scott modules with wreathed 2-group vertices ⋮ On Olsson's conjecture for blocks with metacyclic defect groups of odd order. ⋮ Cartan matrices and Brauer's \(k(B)\)-conjecture. ⋮ Fusion systems ⋮ The 2-blocks of defect 4 ⋮ Fusion systems on small 𝑝-groups

Cites Work

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• Groups of prime power order. Vol. 1.
• Nilpotent blocks and their source algebras
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• On \(p\)-nilpotent forcing groups
• On 2-blocks with quaternion and quasihedral defect groups
• Perfect isometries for blocks with abelian defect groups and cyclic inertial quotients of order \(4\)
• Enumeration of metacyclic \(p\)-groups
• Large character heights, \(Qd(p)\), and the ordinary weight conjecture.
• Finite groups with metacyclic Sylow 2-subgroups
• CONTROL OF FUSION IN FUSION SYSTEMS
• Endliche Gruppen I

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