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math.GR2022
Identities with coefficients in simple compact Lie groups
Michael Larsen, Aner Shalev
We conjecture that if is a simple compact Lie group with trivial center, then every -variable non-constant word map with coefficients in defines a non-constant function…
math.RA2022
From braces to pre-Lie rings
Aner Shalev, Agata Smoktunowicz
Let be a brace of cardinality where is prime, and let be the set of elements of additive order at most in this brace. We construct a pre-L…