A Class of Finite Groups with Abelian Sylow p-Subgroups

DOI10.1142/S1005386706000411zbMath1102.20008MaRDI QIDQ5483342

Zhikai Zhang

Publication date: 14 August 2006

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

zbMATH Keywords

Sylow subgroupsprincipal \(p\)-blocksprime graphsclassification of finite simple groupsAbelian defect group conjecturesplendid Rickard equivalences

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Cites Work

• Unnamed Item
• Prime graph components of finite groups
• On perfect isometries and isotypies in finite groups
• Derived equivalences for group rings
• Broué's conjecture holds for principal 3-blocks with elementary Abelian defect group of order 9
• Non-Abelian Sylow subgroups of finite groups of even order
• Splendid Derived Equivalences for Blocks of Finite p -Solvable Groups