Schur covers of skew braces

Abstract

We develop the theory of Schur covers of finite skew braces. We prove the existence of at least one Schur cover. We also compute several examples. We prove that different Schur covers are isoclinic. Finally, we prove that Schur covers have the lifting property concerning projective representations of skew braces.

34 pages. Postprint version

References in corpus (2)

• Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation
• Isoclinism of skew braces

Cited by in corpus (4)

• Isoclinism of skew braces
• Schur multiplier and Schur covers of relative Rota-Baxter groups
• Hopf formulae for homology of skew braces
• On Grün's lemma for perfect skew braces