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Main Author: Goswami, Amartya
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2212.12927
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author Goswami, Amartya
author_facet Goswami, Amartya
contents Can we do a topological study of various classes of normal subgroups endowed with a hull-kernel-type topology? In this paper, we have provided an answer to this question. We have introduced as well a new class of normal subgroups called primitive subgroups. Separation axioms, compactness, connectedness, and continuities of these spaces have been studied. We have concluded with the question of determining spectral spaces among them.
format Preprint
id arxiv_https___arxiv_org_abs_2212_12927
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Normal structure spaces of groups
Goswami, Amartya
Group Theory
Rings and Algebras
20E28, 20E15, 20D25
Can we do a topological study of various classes of normal subgroups endowed with a hull-kernel-type topology? In this paper, we have provided an answer to this question. We have introduced as well a new class of normal subgroups called primitive subgroups. Separation axioms, compactness, connectedness, and continuities of these spaces have been studied. We have concluded with the question of determining spectral spaces among them.
title Normal structure spaces of groups
topic Group Theory
Rings and Algebras
20E28, 20E15, 20D25
url https://arxiv.org/abs/2212.12927