Finite simple group; sometimes classed as sporadic
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In group theory,
the Tits group2F4(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.
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...
He introduced Tits buildings, the Tits alternative, the Titsgroup, and the Tits metric. Tits was born in Uccle, Belgium to Léon Tits, a professor, and...
exceptions are the sporadic groups. The Titsgroup is sometimes regarded as a sporadic group because it is not strictly a group of Lie type, in which case...
the Titsgroup, named for the Belgian mathematician Jacques Tits. Order: q12 (q6 + 1) (q4 − 1) (q3 + 1) (q − 1), where q = 22n+1. The Titsgroup has order...
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...
smallest group 2F4(2) of type 2F4 is not simple, but it has a simple subgroup of index 2, called the Titsgroup (named after the mathematician Jacques Tits)....
mathematics, the Tits alternative, named after Jacques Tits, is an important theorem about the structure of finitely generated linear groups. The theorem...
that groups of Lie type over a finite field include all the finite simple groups other than the cyclic groups, the alternating groups, the Titsgroup, and...
alternating groups of degree at least 5, the groups of Lie type, the derived subgroup of the groups of Lie Type, such as the Titsgroup one of 26 groups called...
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...
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...
affine Weyl groups, the rank of M ( W n ) {\displaystyle M(W_{n})} stabilizes as n {\displaystyle n} goes to infinity. Artin–Titsgroup Chevalley–Shephard–Todd...
structure on the Artin–Titsgroup. Artin–Titsgroups are sometimes also known as generalized braid groups, because the Artin–Titsgroup B S n {\displaystyle...
non-abelian finite simple groups may be considered to be of Lie type. One of 16 families of groups of Lie type The Titsgroup is generally considered of...
group 2F4(2)', Titsgroup T". ATLAS of Finite Group Representations. Ryba, A. J. E. (1996). "A natural invariant algebra for the Harada-Norton group"...
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...
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...
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...