Andrei V. Zavarnitsine
Abstract
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We find a criterion for the embedding of a nonsplit central extension of $PSL_n(q)$ with kernel of prime order into the permutation wreath product that corresponds to the action on the projective space.
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We find a criterion for the embedding of a nonsplit central extension of $PSL_n(q)$ with kernel of prime order into the permutation wreath product that corresponds to the action on the projective space.
Key concepts: Wreath product, Mathematics, Embedding, PSL, Permutation (music), Extension (predicate logic), Kernel (algebra), Prime (order theory)