Complete mappings in some linear and projective groups
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Publication:689646
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)
complete mappingautomorphism groupsfinite groupfinite linear groupsMathieu groups2-Sylow subgroupsbijective mappingfinite projective groups
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.
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