On the group \(\mathrm{PSL}(n,q)\) as the multiplication group of a loop.

DOI10.1016/j.ejc.2013.02.003zbMath1292.20073OpenAlexW2225676440MaRDI QIDQ2509696

Ari Vesanen

Publication date: 29 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2013.02.003

zbMATH Keywords

multiplication groups of loops

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Loops, quasigroups (20N05)

Cites Work

• Unnamed Item
• On multiplication groups of loops
• On the multiplication groups of semifields.
• Alternating groups and Latin squares
• Research problems from the 18th British Combinatorial Conference
• Multiplication groups of finite loops that fix at most two points
• The classification of finite simple Moufang loops
• The group PSL(2,q) is not the multiplication group of a loop
• Finite classical groups and multiplication groups of loops
• Zeroes of Polynomials Over Finite Fields

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