Images of Permutation and Monomial Progenitors

We have conducted a systematic search for finite homomorphic images of several permutation and monomial progenitors. We have found original symmetric presentations for several important groups such as the Mathieu sporadic simple groups, Suzuki simple group, unitary group, Janko group, simplectic gro...

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Main Author:	Juan, Shirley Marina
Format:	Others
Published:	CSUSB ScholarWorks 2018
Subjects:	DCE double coset enumeration maximal subgroup san bernardino Physical Sciences and Mathematics
Online Access:	https://scholarworks.lib.csusb.edu/etd/720 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1815&context=etd

id	ndltd-csusb.edu-oai-scholarworks.lib.csusb.edu-etd-1815
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spelling	ndltd-csusb.edu-oai-scholarworks.lib.csusb.edu-etd-18152019-10-23T03:37:25Z Images of Permutation and Monomial Progenitors Juan, Shirley Marina We have conducted a systematic search for finite homomorphic images of several permutation and monomial progenitors. We have found original symmetric presentations for several important groups such as the Mathieu sporadic simple groups, Suzuki simple group, unitary group, Janko group, simplectic groups, and projective special linear groups. We have also constructed, using the technique of double coset enumeration, the following groups, L_2(11), S(4,3):2, M11, and PGL(2,11). The isomorphism class of each of the finite images is also given. 2018-06-01T07:00:00Z text application/pdf https://scholarworks.lib.csusb.edu/etd/720 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1815&context=etd Electronic Theses, Projects, and Dissertations CSUSB ScholarWorks DCE double coset enumeration maximal subgroup san bernardino Physical Sciences and Mathematics
collection	NDLTD
format	Others
sources	NDLTD
topic	DCE double coset enumeration maximal subgroup san bernardino Physical Sciences and Mathematics
spellingShingle	DCE double coset enumeration maximal subgroup san bernardino Physical Sciences and Mathematics Juan, Shirley Marina Images of Permutation and Monomial Progenitors
description	We have conducted a systematic search for finite homomorphic images of several permutation and monomial progenitors. We have found original symmetric presentations for several important groups such as the Mathieu sporadic simple groups, Suzuki simple group, unitary group, Janko group, simplectic groups, and projective special linear groups. We have also constructed, using the technique of double coset enumeration, the following groups, L_2(11), S(4,3):2, M11, and PGL(2,11). The isomorphism class of each of the finite images is also given.
author	Juan, Shirley Marina
author_facet	Juan, Shirley Marina
author_sort	Juan, Shirley Marina
title	Images of Permutation and Monomial Progenitors
title_short	Images of Permutation and Monomial Progenitors
title_full	Images of Permutation and Monomial Progenitors
title_fullStr	Images of Permutation and Monomial Progenitors
title_full_unstemmed	Images of Permutation and Monomial Progenitors
title_sort	images of permutation and monomial progenitors
publisher	CSUSB ScholarWorks
publishDate	2018
url	https://scholarworks.lib.csusb.edu/etd/720 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=1815&context=etd
work_keys_str_mv	AT juanshirleymarina imagesofpermutationandmonomialprogenitors
_version_	1719275793546215424

Images of Permutation and Monomial Progenitors

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