Variety of loops generated by code loops

DOI10.1142/S021819671850008XzbMath1396.20079WikidataQ111288340 ScholiaQ111288340MaRDI QIDQ4608252

Rosemary Miguel Pires, Alexander N. Grishkov

Publication date: 16 March 2018

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

doubly even codecode loopscharacteristic vectors

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Combinatorial codes (94B25) Varieties (08B99)

Cites Work

• Code loops in dimension at most \(8\)
• Moufang loops with a unique nonidentity commutator (associator, square)
• A simple construction for the Fischer-Griess monster group
• Code loops
• Sporadic groups, code loops and nonvanishing cohomology
• C-LOOPS: EXTENSIONS AND CONSTRUCTIONS
• GROUPS WITH TRIALITY
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