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In group theory, the term pariah was introduced by Robert Griess in to refer to the six sporadic simple groups which are not subquotients of the monster group. The twenty groups which are subquotients, including the monster group itself, he dubbed the happy family.

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  • Pariah group (en)
  • Pariagroep (nl)
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  • In de groepentheorie, een deelgebied van de wiskunde, zijn de pariagroepen zes sporadische enkelvoudige groepen die niet zijn gerelateerd aan de enkelvoudige monstergroep. De meeste van de 26 sporadische enkelvoudige groepen zijn ofwel ondergroepen ofwel secties van de monstergroep. De pariagroepen vormen hierop een uitzondering. Deze zes pariagroepen zijn: * Drie van de janko-groepen, namelijk J1, J3 en J4. * De * De * De (nl)
  • In group theory, the term pariah was introduced by Robert Griess in to refer to the six sporadic simple groups which are not subquotients of the monster group. The twenty groups which are subquotients, including the monster group itself, he dubbed the happy family. (en)
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  • In group theory, the term pariah was introduced by Robert Griess in to refer to the six sporadic simple groups which are not subquotients of the monster group. The twenty groups which are subquotients, including the monster group itself, he dubbed the happy family. For example, the orders of J4 and the Lyons Group Ly are divisible by 37. Since 37 does not divide the order of the monster, these cannot be subquotients of it; thus J4 and Ly are pariahs. Three other sporadic groups were also shown to be pariahs by Griess in 1982, and the Janko Group J1 was shown to be the final pariah by Robert A. Wilson in 1986. The complete list is shown below. (en)
  • In de groepentheorie, een deelgebied van de wiskunde, zijn de pariagroepen zes sporadische enkelvoudige groepen die niet zijn gerelateerd aan de enkelvoudige monstergroep. De meeste van de 26 sporadische enkelvoudige groepen zijn ofwel ondergroepen ofwel secties van de monstergroep. De pariagroepen vormen hierop een uitzondering. Deze zes pariagroepen zijn: * Drie van de janko-groepen, namelijk J1, J3 en J4. * De * De * De (nl)
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