Constructions of large translation nets with nonabelian translation groups

DOI10.1007/BF00123762zbMath0748.51009OpenAlexW2062891786MaRDI QIDQ1182419

Dirk Hachenberger

Publication date: 28 June 1992

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00123762

zbMATH Keywords

permutation groupstranslation netSuzuki and Ree groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: alternating groups and groups of Lie type (20D06) Finite partial geometries (general), nets, partial spreads (51E14)

Related Items (4)

Constructions of large translation nets with nonabelian translation groups ⋮ Translation nets: A survey ⋮ Note on the existence of translation nets ⋮ On a combinatorial problem in group theory

Cites Work

• Translation nets and fixed-point-free group automorphisms
• Bruck nets with a transitive direction
• Groups with a large number of large disjoint subgroups
• Partial spreads over \({\mathbb{Z}}_ q\)
• Existence results for translation nets. II
• Suzuki 2-groups
• Constructions of large translation nets with nonabelian translation groups
• Hadamard difference sets in groups of order 64
• Some remarks concerning the Ree groups of type \((G_2)\)
• Gruppentheoretische Methoden in der Geometrie. Ein Bericht
• A Family of Simple Groups Associated with the Simple Lie Algebra of Type (G 2 )
• Endliche Gruppen I
• On a class of doubly transitive groups
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