On the multiplication groups of semifields.

DOI10.1016/j.ejc.2009.05.001zbMath1217.20040OpenAlexW2045878517MaRDI QIDQ1041178

Gábor P. Nagy

Publication date: 1 December 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.05.001

zbMATH Keywords

loopsmultiplication groupsMathieu groupsfinite semifields

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Loops, quasigroups (20N05) Simple groups: alternating groups and groups of Lie type (20D06) Semifields (12K10) Multiply transitive finite groups (20B20)

Related Items (6)

Some Remarks on Two-Transitive Permutation Groups as Multiplication Groups of Quasigroups ⋮ Finite semifields and nonsingular tensors ⋮ Multiplicative loops of topological quasifields ⋮ Linear groups as right multiplication groups of quasifields ⋮ On the group \(\mathrm{PSL}(n,q)\) as the multiplication group of a loop. ⋮ The multiplicative loops of Jha-Johnson semifields

Uses Software

• GAP

Cites Work

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• Projektivitätengruppen von Translationsebenen
• A note on the group of projectivities of finite projective planes.
• Multiplication groups of loops and projective semilinear transformations in dimension two
• Research problems from the 18th British Combinatorial Conference
• Finite semifields and projective planes
• Generalized twisted fields
• Orbit and coset analysis of the Golay and related codes
• Finite classical groups and multiplication groups of loops
• A Class of Projective Planes

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