Xiusheng Liu
Abstract
In this paper, we give two theorems about the isomorphism between the semidirect product of N by H corresponding to φ and that of N dy H corresponding to ψ, which the group H or two homorphism φ,ψ from the group H to the Aut(N) satisfies certain condition. One of the theorem extends a well-known result.
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In this paper, we give two theorems about the isomorphism between the semidirect product of N by H corresponding to φ and that of N dy H corresponding to ψ, which the group H or two homorphism φ,ψ from the group H to the Aut(N) satisfies certain condition. One of the theorem extends a well-known result.
Key concepts: Semidirect product, Isomorphism (crystallography), Mathematics, Product (mathematics), Group (periodic table), Combinatorics, Pure mathematics, Chemistry