Agata Smoktunowicz

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math.GR2025

On some connections between braces and pre-Lie rings outside of the context of Lazard's correspondence

Agata Smoktunowicz

Let $p > 3$ be a prime number and let $A$ be a brace whose additive group is a direct sum of cyclic groups of cardinalities larger than $p^{I^\pm}$ for some $I^\pm$ . Suppose that either (i…

math.GR2025

On pre-Lie rings related to some non-Lazard braces

Agata Smoktunowicz

Let A be a brace of cardinality $p^{n}$ for some prime number $p$ . Suppose that either (i) the additive group of brace $A$ has rank smaller than $p - 3$ , or (ii) $A^{\frac {p-1}2}\su…