Moufang loops of class 2 and cubic forms

DOI10.1017/S0305004199003977zbMath0962.20046MaRDI QIDQ4954257

Tim Hsu

Publication date: 19 June 2001

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

finite Moufang loopssmall Frattini Moufang loopssymplectic cubic formssymplectic cubic spaces

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Loops, quasigroups (20N05)

Related Items (11)

COMPUTATIONAL COMPLEXITY OF GENERATORS AND NONGENERATORS IN ALGEBRA ⋮ On extraspecial left conjugacy closed loops. ⋮ On nilpotent Moufang loops with central associators. ⋮ Minimally nonassociative nilpotent Moufang loops. ⋮ Half-Automorphisms of Cayley–Dickson Loops ⋮ Code loops in dimension at most \(8\) ⋮ The Moufang loops of order 64 and 81. ⋮ Moufang loops that share associator and three quarters of their multiplication tables. ⋮ Code loops in both parities ⋮ On loops rich in automorphisms that are abelian modulo the nucleus ⋮ Moufang loops with commuting inner mappings.

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