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- Q278338 subject Q8792316.
- Q278338 abstract "In the area of modern algebra known as group theory, the term pariah was introduced by Griess (1982) to refer to the six sporadic simple groups that are not subquotients of the monster group. The prime 37 divides the order of the Lyons Group Ly. Since 37 does not divide the order of the monster, Ly cannot be a subquotient of it; thus Ly is a pariah. For exactly the same reason, J4 is a pariah. Four other sporadic groups were also shown to be pariahs. The complete list is shown below.".
- Q278338 thumbnail Finitesubgroups.svg?width=300.
- Q278338 wikiPageWikiLink Q2682286.
- Q278338 wikiPageWikiLink Q3117691.
- Q278338 wikiPageWikiLink Q3117692.
- Q278338 wikiPageWikiLink Q3117698.
- Q278338 wikiPageWikiLink Q32229.
- Q278338 wikiPageWikiLink Q392663.
- Q278338 wikiPageWikiLink Q6154863.
- Q278338 wikiPageWikiLink Q6154867.
- Q278338 wikiPageWikiLink Q6154870.
- Q278338 wikiPageWikiLink Q7631847.
- Q278338 wikiPageWikiLink Q874429.
- Q278338 wikiPageWikiLink Q8792316.
- Q278338 comment "In the area of modern algebra known as group theory, the term pariah was introduced by Griess (1982) to refer to the six sporadic simple groups that are not subquotients of the monster group. The prime 37 divides the order of the Lyons Group Ly. Since 37 does not divide the order of the monster, Ly cannot be a subquotient of it; thus Ly is a pariah. For exactly the same reason, J4 is a pariah. Four other sporadic groups were also shown to be pariahs. The complete list is shown below.".
- Q278338 label "Pariah group".
- Q278338 depiction Finitesubgroups.svg.