Induced morphisms between localization genera of groups

J. C. Mba; P. J. Witbooi

doi:10.1142/S1005386714000248

Induced morphisms between localization genera of groups

J. C. Mba, P. J. Witbooi

University of the Western Cape

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

3 Citations (Scopus)

Abstract

For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F is the trivial group. We prove the existence of various induced homomorphisms between genus groups. We discover an induced morphism arising from factoring out a finite normal subgroup.

Original language	English
Pages (from-to)	285-294
Number of pages	10
Journal	Algebra Colloquium
Volume	21
Issue number	2
DOIs	https://doi.org/10.1142/S1005386714000248
Publication status	Published - Jun 2014
Externally published	Yes

Keywords

Groups under a finite group
Localization
Restricted genus

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1142/S1005386714000248

Cite this

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title = "Induced morphisms between localization genera of groups",

abstract = "For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F is the trivial group. We prove the existence of various induced homomorphisms between genus groups. We discover an induced morphism arising from factoring out a finite normal subgroup.",

keywords = "Groups under a finite group, Localization, Restricted genus",

author = "Mba, {J. C.} and Witbooi, {P. J.}",

year = "2014",

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pages = "285--294",

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T1 - Induced morphisms between localization genera of groups

AU - Mba, J. C.

AU - Witbooi, P. J.

PY - 2014/6

Y1 - 2014/6

N2 - For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F is the trivial group. We prove the existence of various induced homomorphisms between genus groups. We discover an induced morphism arising from factoring out a finite normal subgroup.

AB - For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F is the trivial group. We prove the existence of various induced homomorphisms between genus groups. We discover an induced morphism arising from factoring out a finite normal subgroup.

KW - Groups under a finite group

KW - Localization

KW - Restricted genus

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U2 - 10.1142/S1005386714000248

DO - 10.1142/S1005386714000248

M3 - Article

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SN - 1005-3867

VL - 21

SP - 285

EP - 294

JO - Algebra Colloquium

JF - Algebra Colloquium

IS - 2

ER -

Induced morphisms between localization genera of groups

Abstract

Keywords

ASJC Scopus subject areas

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