most citedLoops with involution and the Cayley-Dickson doubling process

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.GR2025

How Associative Can a Non-Associative Moufang Loop Be?

Ilan Levin

We prove a non-associative analog to the well-known Theorem. Namely, for a finite Moufang loop with nuclear commutators, we show that if the probability that three ra…

math.CO2024★ 1 cited

Loops with involution and the Cayley-Dickson doubling process

Adam Chapman, Ilan Levin, Uzi Vishne +1

We develop a theory of loops with involution. On this basis we define a Cayley-Dickson doubling on loops, and use it to investigate the lattice of varieties of loops with involutio…