Normal structure spaces of groups

A. Goswami

doi:10.1007/s12215-022-00855-3

Normal structure spaces of groups

A. Goswami

Mathematics and Applied Mathematics

National Institute for Theoretical and Computational Sciences (NITheCS)

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

Abstract

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.

Original language	English
Pages (from-to)	3697-3708
Number of pages	12
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	72
Issue number	7
DOIs	https://doi.org/10.1007/s12215-022-00855-3
Publication status	Published - Nov 2023

Keywords

Coarse lower topology
Primary subgroup
Prime subgroup
Primitive subgroup
Strongly irreducible subgroup
Structure space

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s12215-022-00855-3

Cite this

@article{a1d214aefd894bc4a91e2f0fc26f28dc,

title = "Normal structure spaces of groups",

abstract = "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.",

keywords = "Coarse lower topology, Primary subgroup, Prime subgroup, Primitive subgroup, Strongly irreducible subgroup, Structure space",

author = "A. Goswami",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature.",

year = "2023",

month = nov,

doi = "10.1007/s12215-022-00855-3",

language = "English",

volume = "72",

pages = "3697--3708",

journal = "Rendiconti del Circolo Matematico di Palermo",

issn = "0009-725X",

publisher = "Springer-Verlag Italia Srl",

number = "7",

}

TY - JOUR

T1 - Normal structure spaces of groups

AU - Goswami, A.

PY - 2023/11

Y1 - 2023/11

N2 - 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.

AB - 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.

KW - Coarse lower topology

KW - Primary subgroup

KW - Prime subgroup

KW - Primitive subgroup

KW - Strongly irreducible subgroup

KW - Structure space

UR - http://www.scopus.com/inward/record.url?scp=85145919801&partnerID=8YFLogxK

U2 - 10.1007/s12215-022-00855-3

DO - 10.1007/s12215-022-00855-3

M3 - Article

AN - SCOPUS:85145919801

SN - 0009-725X

VL - 72

SP - 3697

EP - 3708

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

IS - 7

ER -

Normal structure spaces of groups

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this