Generators for maximal subgroups of Conway group Co1

The Conway groups are the three sporadic simple groups Co1, Co2 and Co3. There are total of 22 maximal subgroups of Co1 and generators of 6 maximal subgroups are provided in web Atlas of finite simple groups. The aim of this paper is to give generators of remaining 16 maximal subgroups.

Bibliographic Details
Main Authors:	Yasin Faisal, Farooq Adeel, Nazeer Waqas, Kang Shin Min
Format:	Article
Language:	English
Published:	De Gruyter 2019-04-01
Series:	Open Mathematics
Subjects:	conway group maximal subgroup generators finite group normalizer 20d05 20b40
Online Access:	https://doi.org/10.1515/math-2019-0024

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record_format	Article
spelling	doaj-2d18b130a77d472cbf786641d8b2d76f2021-09-06T19:20:11ZengDe GruyterOpen Mathematics2391-54552019-04-0117129731210.1515/math-2019-0024math-2019-0024Generators for maximal subgroups of Conway group Co1Yasin Faisal0Farooq Adeel1Nazeer Waqas2Kang Shin Min3Department of Mathematics, COMSATS University Islamabad, Lahore, Campus 54000, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore, Campus 54000, PakistanDivision of Science and Technology, University of Education, Lahore, 54000, PakistanDepartment of Mathematics andResearch Institute of Natural Science, Gyeongsang National University, Jinju, 52828, KoreaThe Conway groups are the three sporadic simple groups Co1, Co2 and Co3. There are total of 22 maximal subgroups of Co1 and generators of 6 maximal subgroups are provided in web Atlas of finite simple groups. The aim of this paper is to give generators of remaining 16 maximal subgroups.https://doi.org/10.1515/math-2019-0024conway groupmaximal subgroupgeneratorsfinite groupnormalizer20d0520b40
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yasin Faisal Farooq Adeel Nazeer Waqas Kang Shin Min
spellingShingle	Yasin Faisal Farooq Adeel Nazeer Waqas Kang Shin Min Generators for maximal subgroups of Conway group Co1 Open Mathematics conway group maximal subgroup generators finite group normalizer 20d05 20b40
author_facet	Yasin Faisal Farooq Adeel Nazeer Waqas Kang Shin Min
author_sort	Yasin Faisal
title	Generators for maximal subgroups of Conway group Co1
title_short	Generators for maximal subgroups of Conway group Co1
title_full	Generators for maximal subgroups of Conway group Co1
title_fullStr	Generators for maximal subgroups of Conway group Co1
title_full_unstemmed	Generators for maximal subgroups of Conway group Co1
title_sort	generators for maximal subgroups of conway group co1
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2019-04-01
description	The Conway groups are the three sporadic simple groups Co1, Co2 and Co3. There are total of 22 maximal subgroups of Co1 and generators of 6 maximal subgroups are provided in web Atlas of finite simple groups. The aim of this paper is to give generators of remaining 16 maximal subgroups.
topic	conway group maximal subgroup generators finite group normalizer 20d05 20b40
url	https://doi.org/10.1515/math-2019-0024
work_keys_str_mv	AT yasinfaisal generatorsformaximalsubgroupsofconwaygroupco1 AT farooqadeel generatorsformaximalsubgroupsofconwaygroupco1 AT nazeerwaqas generatorsformaximalsubgroupsofconwaygroupco1 AT kangshinmin generatorsformaximalsubgroupsofconwaygroupco1
_version_	1717777144867717120

Generators for maximal subgroups of Conway group Co1

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