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Finite exceptional p-groups of small order

dc.contributor.authorLemieux, Stephane
dc.date.accessioned2020-10-16
dc.date.accessioned2022-05-31T01:15:55Z
dc.date.available2022-05-31T01:15:55Z
dc.date.issued2007
dc.description.abstractA finite group is said to be exceptional if its minimal degree of a faithful permutation representation is strictly less than that of one of its factor groups, called a distinguished quotient. It was previously unknown if exceptional p-groups of order less than p 6 existed for p an odd prime. The author proved in his M.Sc thesis that there are none of order ≤p 4 and gave restrictions on the possible existence of distinguished quotients of exceptional groups of order p 5. In this article, an exceptional p-group of order p 5 is exhibited for p any odd prime.
dc.description.urihttps://library.macewan.ca/full-record/edswsc/000247162500009
dc.identifier.citationLemieux, S. (2007). Finite exceptional p-groups of small order. COMMUNICATIONS IN ALGEBRA, 35(6), 1890–1894. https://doi.org/10.1080/00927870701246924
dc.identifier.doihttps://doi.org/10.1080/00927870701246924
dc.identifier.urihttps://hdl.handle.net/20.500.14078/1944
dc.languageEnglish
dc.language.isoen
dc.rightsAll Rights Reserved
dc.subjectfaithful representation
dc.subjectfinite exceptional groups
dc.subjectminimal degree
dc.subjectp-groups
dc.subjectpermutation groups
dc.titleFinite exceptional p-groups of small orderen
dc.typeArticle
dspace.entity.type

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