Multiplication groups of loops and projective semilinear transformations in dimension two

DOI10.1006/jabr.2001.9120zbMath1009.20079OpenAlexW2031686606MaRDI QIDQ1614651

Aleš Drápal

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9120

zbMATH Keywords

translationsmultiplication groups of loopsAbelian automorphism groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Loops, quasigroups (20N05)

Related Items

Some Remarks on Two-Transitive Permutation Groups as Multiplication Groups of Quasigroups, Solvability of commutative automorphic loops, Conjugacy closed loops and their multiplication groups., On the multiplication groups of semifields.

Cites Work

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• On multiplication groups of loops
• Alternating groups and Latin squares
• Multiplication groups of finite loops that fix at most two points
• Orbit and coset analysis of the Golay and related codes
• Quasiprimitivity and quasigroups
• The group PSL(2,q) is not the multiplication group of a loop