Some results on pushing up in finite groups

DOI10.1007/BF01214339zbMath0453.20009MaRDI QIDQ1148991

Michael Aschbacher

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173047

zbMATH Keywords

2-local subgroupssectional 2-rankpushing upfinite groups of characteristic 2-typecharacteristic subgroups of Sylow 2-subgroupshort subgroups

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05)

Related Items

Characteristic pairs for 2-groups, Finite groups of rank 3.I, Finite groups of rank 3. II, Finite groups, Generation of fusion systems of characteristic 2-type., Certain 2-local blocks with alternating sections, A pushing up result and some consequences for the embedding of 2- constrained subgroups

Cites Work

• The uniqueness case for finite groups. I, II
• Component type theorems for finite groups in characteristic 2
• Fusion and dihedral 2-subgroups
• Tightly embedded subgroups of finite groups
• A pushing up theorem for characteristic 2 type groups
• A note on tightly embedded subgroups
• On Certain 2-Local Blocks
• On the Failure of the Thompson Factorization in 2-Constrained Groups
• A Factorization Theorem for 2-Constrained Groups
• GF(2)-Representations of Finite Groups
• Finite groups whose 2-subgroups are generated by at most 4 elements
• An enemies list for factorization theorems