A. Smoktunowicz

activity

20042026

most citedOn skew braces (with an appendix by N. Byott and L. Vendramin)

118 citations · 330 across the 37 of their papers we have counts for

collaborators

Showing 2022 · math.RAShow all

3 papers · 2 filters

math.RA2022

From pre-Lie rings back to braces

Agata Smoktunowicz

Let A be a brace of cardinality p^{n} where p>n+1 is prime, and ann(p^{i}) be the set of elements of additive order at most p^{i} in this brace. A pre-Lie ring related to the brace…

math.RA2022

From braces to pre-Lie rings

Aner Shalev, Agata Smoktunowicz

Let $A$ be a brace of cardinality $p^{n}$ where $p > n + 1$ is prime, and let $ann (p^{2})$ be the set of elements of additive order at most $p^{2}$ in this brace. We construct a pre-L…

math.RA2022

On the passage from finite braces to pre-Lie rings

Agata Smoktunowicz

Let p be a prime number. We show that there is a one-to-one correspondence between the set of strongly nilpotent braces and the set of nilpotent pre-Lie rings of cardinality $p^{n}…