Normal structure spaces of groups
type: Item
instance of: scholarly article
title: Normal structure spaces of groups
zbMATH Open document ID: 1525.20026
arXiv ID: 2212.12927
publication date: 2023-10-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/2212.12927
review text: In the paper under review, the author studies various classes of normal subgroups (of a fixed group \(G\)) endowed with a hullkernel-type topology. He introduces a new class of normal subgroups called primitive subgroups. Separation axioms, compactness, connectedness, and continuities of these spaces are studied. The paper leaves open the question of studying spectral spaces among them.
reviewed by: Enrico Jabara
Mathematics Subject Classification ID: 20E28
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20D25
Mathematics Subject Classification ID: 54B35
zbMATH DE Number: 7753863
zbMATH Keywords: prime subgroup
zbMATH Keywords: primitive subgroup
zbMATH Keywords: primary subgroup
zbMATH Keywords: strongly irreducible subgroup
zbMATH Keywords: coarse lower topology
zbMATH Keywords: structure space
MaRDI profile type: Publication
OpenAlex ID: W4313895207
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DOI: 10.1007/S12215-022-00855-3
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 7753863