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The only 4-transitive groups are the symmetric groups S k for k at least 4, the alternating groups A k for k at least 6, and the Mathieu groups M 24, M 23, M 12, and M 11. ( Cameron 1999 , p. 110) The full proof requires the classification of finite simple groups , but some special cases have been known for much longer.
M 11 is one of the 26 sporadic groups and was introduced by Mathieu (1861, 1873). It is the smallest sporadic group and, along with the other four Mathieu groups, the first to be discovered. The Schur multiplier and the outer automorphism group are both trivial. M 11 is a sharply 4-transitive permutation group on 11 objects.
M 12 is one of the 26 sporadic groups and was introduced by Mathieu (1861, 1873).It is a sharply 5-transitive permutation group on 12 objects. Burgoyne & Fong (1968) showed that the Schur multiplier of M 12 has order 2 (correcting a mistake in (Burgoyne & Fong 1966) where they incorrectly claimed it has order 1).
Armata Corsa - an underground separatist terrorist organization in Corsica, today disbanded; Corsica Nazione – Corsican nationalist party; Corsican Nationalist Alliance - political party endorsing Corsican nationalism; Corsican Workers' Trade Union - nationalist labour union; National Liberation Front of Corsica - secessionist militant group
Several national governments and two international organizations have created lists of organizations that they designate as terrorist. [1] The following list of designated terrorist groups lists groups designated as terrorist by current and former national governments, and inter-governmental organizations. Such designations have often had a ...
This is a list of active rebel groups around the world. A " rebel group " is defined here as a polity that uses armed conflict in opposition to established government (or governments) for reasons such as to seek political change or to establish, maintain, or to gain independence.
Tyrann Mathieu is eligible to play for the Chiefs in Week 1. Tyrann Mathieu activated from COVID-19 list ahead of Week 1, is considered a game-time decision [Video] Skip to main content
M 24 is one of the 26 sporadic groups and was introduced by Mathieu (1861, 1873). It is a 5-transitive permutation group on 24 objects. The Schur multiplier and the outer automorphism group are both trivial. The Mathieu groups can be constructed in various ways. Initially, Mathieu and others constructed them as permutation groups.