Geodesic
On the number of group homomorphisms between certain groups
Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 2, pp. 277-285

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Let H be a finite abelian group and Dih(H) = 〈 H, b | b^2 = 1 amp; bhb^-1 = h^-1; ∀ h ∈ H 〉 be the generalized dihedral group of H. The aim of this paper is to compute the number of group homomorphisms between two generalized dihedral groups and a generalized dihedral group and an abelian group. One of these results generalized an earlier work by J. W. Johnson published in 2013.
Keywords: group homomorphism, generalized dihedral group, abelian group 
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Ashrafi, Ali Reza; Jahangiri, Bardia; Yousefian-Arani, Mohammad Moein. On the number of group homomorphisms between certain groups. Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 2, pp. 277-285. http://geodesic.mathdoc.fr/item/DMGAA_2024_44_2_a2/