Orthomorphism graphs of groups

DOI10.1007/BF01222262zbMath0678.20012MaRDI QIDQ5904008

Anthony B. Evans

Publication date: 1989

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

automorphismsnetfinite grouplatin squareantiautomorphismsgroup of translationsfixed-point free permutationorthomorphism graphr- clique

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Orthogonal arrays, Latin squares, Room squares (05B15) Automorphisms of abstract finite groups (20D45) Loops, quasigroups (20N05)

Related Items

Groups with anti-symmetric mappings ⋮ On planes of prime order with translations and homologies ⋮ Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results

Cites Work

• Generalized complete mappings, neofields, sequenceable groups and block designs. I
• Generalized complete mappings, neofields, sequenceable groups and block designs. II
• Nonexistence of certain planes of order 10 and 12
• On Methods of Constructing Sets of Mutually Orthogonal Latin Squares Using a Computer. I
• Orthomorphisms of Groups and Orthogonal Latin Squares. I
• Endliche Gruppen I
• The Construction of Orthogonal Latin Squares
• Complete mappings of finite groups
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