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math.GR2021★ 9 cited
Brace blocks from bilinear maps and liftings of endomorphisms
A. Caranti, L. Stefanello
We extend two constructions of Alan Koch, exhibiting methods to construct brace blocks, that is, families of group operations on a set such that any two of them induce a skew b…
math.GR2021★ 14 cited
From endomorphisms to bi-skew braces, regular subgroups, the Yang--Baxter equation, and Hopf--Galois structures
A. Caranti, L. Stefanello
The interplay between set-theoretic solutions of the Yang--Baxter equation of Mathematical Physics, skew braces, regular subgroups, and Hopf--Galois structures has spawned a consid…