Article in volume
Authors:
Title:
On the number of group homomorphisms between certain groups
PDFSource:
Discussiones Mathematicae - General Algebra and Applications 44(2) (2024) 277-286
Received: 2022-11-17 , Revised: 2023-02-21 , Accepted: 2023-02-21 , Available online: 2023-09-25 , https://doi.org/10.7151/dmgaa.1443
Abstract:
Let $H$ be a finite abelian group and $Dih(H)$ $=$ $\langle H, b | b^2 = 1 \ \& \ bhb^{-1} = h^{-1}; \ \forall h \in H \rangle$ 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.
Primary keywords:
group homomorphism, generalized dihedral group
Secondary keywords:
abelian group
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