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Schur covers of skew braces

par Letourmy, Thomas ;Vendramin, Leandro
Référence Journal of algebra, 644, page (609-654)
Publication Publié, 2024-04-01

Article révisé par les pairs

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Résumé :

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.