HOMOMORPHISMS BETWEEN RESTRICTED GENUS GROUPS

Jules Clément Mba

HOMOMORPHISMS BETWEEN RESTRICTED GENUS GROUPS

University of Johannesburg

Research output: Contribution to journal › Article › peer-review

Abstract

For two finitely generated groups with finite commutator subgroup G₁ and G₂, homomorphisms between genera of groups G(G₁) and G(G₂) have been established in the liter-ature, especially when G₂ is some quotient group obtained from G₁ or when G₂ is some power of G₁. These groups G_i i = 1, 2 are called χ₀-groups. For χ₀-groups under a given finite group F, we establish a homomorphism between the restricted genera. In the case, the homomorphism is surjective, it provides a computational method of the restricted genus..

Original language	English
Pages (from-to)	194-200
Number of pages	7
Journal	Palestine Journal of Mathematics
Volume	12
Issue number	2
Publication status	Published - 2023
Externally published	Yes

Keywords

Genus
finite commutator subgroup
homomorphisms
non-cancellation set

ASJC Scopus subject areas

General Mathematics

Cite this

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abstract = "For two finitely generated groups with finite commutator subgroup G1 and G2, homomorphisms between genera of groups G(G1) and G(G2) have been established in the liter-ature, especially when G2 is some quotient group obtained from G1 or when G2 is some power of G1. These groups Gi i = 1, 2 are called χ0-groups. For χ0-groups under a given finite group F, we establish a homomorphism between the restricted genera. In the case, the homomorphism is surjective, it provides a computational method of the restricted genus..",

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N2 - For two finitely generated groups with finite commutator subgroup G1 and G2, homomorphisms between genera of groups G(G1) and G(G2) have been established in the liter-ature, especially when G2 is some quotient group obtained from G1 or when G2 is some power of G1. These groups Gi i = 1, 2 are called χ0-groups. For χ0-groups under a given finite group F, we establish a homomorphism between the restricted genera. In the case, the homomorphism is surjective, it provides a computational method of the restricted genus..

AB - For two finitely generated groups with finite commutator subgroup G1 and G2, homomorphisms between genera of groups G(G1) and G(G2) have been established in the liter-ature, especially when G2 is some quotient group obtained from G1 or when G2 is some power of G1. These groups Gi i = 1, 2 are called χ0-groups. For χ0-groups under a given finite group F, we establish a homomorphism between the restricted genera. In the case, the homomorphism is surjective, it provides a computational method of the restricted genus..

KW - Genus

KW - finite commutator subgroup

KW - homomorphisms

KW - non-cancellation set

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JO - Palestine Journal of Mathematics

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ER -

HOMOMORPHISMS BETWEEN RESTRICTED GENUS GROUPS

Abstract

Keywords

ASJC Scopus subject areas

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