Schur covers of skew braces
arXiv:2302.03970 · doi:10.1016/j.jalgebra.2024.01.021
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.
arXiv comment34 pages. Postprint version
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