Complete mappings in some linear and projective groups

DOI10.1007/BF01207458zbMath0783.20013MaRDI QIDQ689646

Francesca Dalla Volta, Norberto Gavioli

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

complete mappingautomorphism groupsfinite groupfinite linear groupsMathieu groups2-Sylow subgroupsbijective mappingfinite projective groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Orthogonal arrays, Latin squares, Room squares (05B15) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (9)

Groups with anti-symmetric mappings ⋮ The existence of strong complete mappings of finite groups: a survey ⋮ An asymptotic for the Hall-Paige conjecture ⋮ Partial orthomorphisms and Latin squares based on parts of a group ⋮ Mutually orthogonal Latin squares based on general linear groups ⋮ The existence of complete mappings of \(\text{SL}(2,q)\), \(q\equiv 1\) modulo \(4\) ⋮ The admissibility of sporadic simple groups. ⋮ Reduction of the Hall-Paige conjecture to sporadic simple groups. ⋮ The existence of complete mappings of \(\text{SL}(2,q)\), \(q\equiv 3\) modulo 4.

Cites Work

• 2-transitive and antiflag transitive collineation groups of finite projective spaces
• Finite Permutation Groups and Finite Simple Groups
• Endliche Gruppen I
• Complete mappings of finite groups
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