Andrei V. Zavarnitsine
Abstract
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We find a necessary condition for the embedding of a central extension of a group $G$ with elementary abelian kernel into the wreath product that corresponds to a permutation action of $G$. The proof uses purely group-theoretic methods.
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We find a necessary condition for the embedding of a central extension of a group $G$ with elementary abelian kernel into the wreath product that corresponds to a permutation action of $G$. The proof uses purely group-theoretic methods.
Key concepts: Wreath product, Embedding, Extension (predicate logic), Abelian group, Mathematics, Kernel (algebra), Permutation (music), Action (physics)