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Tits group information


In group theory, the Tits group 2F4(2)′, named for Jacques Tits (French: [tits]), is a finite simple group of order

   211 · 33 · 52 · 13 = 17,971,200.

This is the only simple group that is a derivative of a group of Lie type that is not strictly a group of Lie type in any series due to exceptional isomorphism. It is sometimes considered a 27th sporadic group.

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Tits group

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In group theory, the Tits group 2F4(2)′, named for Jacques Tits (French: [tits]), is a finite simple group of order    211 · 33 · 52 · 13 = 17,971,200...

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Tit

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Look up tit or tits in Wiktionary, the free dictionary. TIT, Tit, Tits, or tit may refer to: Tit (bird) or Paridae, a large family of passerine birds Bearded...

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Jacques Tits

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He introduced Tits buildings, the Tits alternative, the Tits group, and the Tits metric. Tits was born in Uccle, Belgium to Léon Tits, a professor, and...

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Sporadic group

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exceptions are the sporadic groups. The Tits group is sometimes regarded as a sporadic group because it is not strictly a group of Lie type, in which case...

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List of finite simple groups

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the Tits group, named for the Belgian mathematician Jacques Tits. Order: q12 (q6 + 1) (q4 − 1) (q3 + 1) (q − 1), where q = 22n+1. The Tits group has order...

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Great tit

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be subspecies, the great tit's closest relatives are the white-naped and green-backed tits of southern Asia. Hybrids with tits outside the genus Parus...

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Group of Lie type

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smallest group 2F4(2) of type 2F4 is not simple, but it has a simple subgroup of index 2, called the Tits group (named after the mathematician Jacques Tits)....

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Tits alternative

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mathematics, the Tits alternative, named after Jacques Tits, is an important theorem about the structure of finitely generated linear groups. The theorem...

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Finite group

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that groups of Lie type over a finite field include all the finite simple groups other than the cyclic groups, the alternating groups, the Tits group, and...

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Classification of finite simple groups

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alternating groups of degree at least 5, the groups of Lie type, the derived subgroup of the groups of Lie Type, such as the Tits group one of 26 groups called...

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Ree group

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root lengths. Tits (1960) defined Ree groups over infinite fields of characteristics 2 and 3. Tits (1989) and Hée (1990) introduced Ree groups of infinite-dimensional...

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Big Tits Zombie

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Big Tits Zombie (巨乳ドラゴン 温泉ゾンビVSストリッパー5, Kyonyū doragon: Onsen zonbi vs sutorippaa 5, lit. "Big Tits Dragon: Hot Spring Zombie Vs. Stripper 5") is a 2010...

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Coxeter group

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affine Weyl groups, the rank of M ( W n ) {\displaystyle M(W_{n})} stabilizes as n {\displaystyle n} goes to infinity. Artin–Tits group Chevalley–Shephard–Todd...

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Affine symmetric group

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structure on the Artin–Tits group. Artin–Tits groups are sometimes also known as generalized braid groups, because the Artin–Tits group B S n {\displaystyle...

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Simple group

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non-abelian finite simple groups may be considered to be of Lie type. One of 16 families of groups of Lie type The Tits group is generally considered of...

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5

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group 2F4(2)', Tits group T". ATLAS of Finite Group Representations. Ryba, A. J. E. (1996). "A natural invariant algebra for the Harada-Norton group"...

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Presentation of a group

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method of specifying a group. A presentation of a group G comprises a set S of generators—so that every element of the group can be written as a product...

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Marsh tit

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to Tits and Chickadees. Lynx Edicions. ISBN 978-84-96553-42-2. Gill, Frank; Donsker, David, eds. (2018). "Waxwings and allies, tits, penduline tits". World...

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Braid group

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Artin–Tits group Braided monoidal category Braided vector space Braided Hopf algebra Knot theory Non-commutative cryptography Weisstein, Eric. "Braid Group"...

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Satake diagram

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to the Dynkin diagram. More generally, the Tits index or Satake–Tits diagram of a reductive algebraic group over a field is a generalization of the Satake...

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Penduline tit

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The penduline tits constitute the family, Remizidae, of small passerine birds, related to the true tits. All but the verdin make elaborate bag nests hanging...

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