Deformations of a Matched Pair and Schreier Type Theorems for Bicrossed Product of Groups
نویسنده
چکیده
We prove that the bicrossed product of two groups is a quotient of the pushout of two semidirect products. A matched pair of groups (H,G,α, β) is deformed using a combinatorial datum (σ, v, r) consisting of an automorphism σ of H , a permutation v of the set G and a transition map r : G → H in order to obtain a new matched pair `
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