On the embedding of central extensions into wreath products
Andrei V. Zavarnitsine

TL;DR
This paper establishes a necessary condition for embedding central extensions with elementary abelian kernels into wreath products associated with permutation actions, using purely group-theoretic techniques.
Contribution
It introduces a new necessary condition for such embeddings, advancing understanding of the structure of central extensions and wreath products.
Findings
Identifies a necessary condition for embedding central extensions into wreath products.
Uses purely group-theoretic methods for the proof.
Provides insights into the structure of elementary abelian kernels in group embeddings.
Abstract
We find a necessary condition for the embedding of a central extension of a group with elementary abelian kernel into the wreath product that corresponds to a permutation action of . The proof uses purely group-theoretic methods.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Geometric and Algebraic Topology · Advanced Topics in Algebra
