Discussion on the Isomorphism of the Semidirect Product
Hou Qian-min
Abstract
Hou Qian-min
Abstract
We give two theorems about the isomorphism between the semidirect product of N by H corresponding to φ and that of N by H corresponding to ψ,which the group H or two homorphism φ,ψ from the group H to the Aut(N) satisfies some condition.One of the theorem extend a well-known result.
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We give two theorems about the isomorphism between the semidirect product of N by H corresponding to φ and that of N by H corresponding to ψ,which the group H or two homorphism φ,ψ from the group H to the Aut(N) satisfies some condition.One of the theorem extend a well-known result.
Key concepts: Semidirect product, Isomorphism (crystallography), Mathematics, Product (mathematics), Group (periodic table), Wreath product, Combinatorics, Pure mathematics