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Tits and later
Although Tits ' proof used algebraic geometry, Guivarc ' h later found an analytic proof based on V. Oseledets ' multiplicative ergodic theorem.
Griess's construction was later simplified by Jacques Tits and John H. Conway.
Pats, later renamed Tits, already disappeared in 1986.

Tits and aspects
In mathematics, a building ( also Tits building, Bruhat – Tits building, named after François Bruhat and Jacques Tits ) is a combinatorial and geometric structure which simultaneously generalizes certain aspects of flag manifolds, finite projective planes, and Riemannian symmetric spaces.

Tits and theory
Initially introduced by Jacques Tits as a means to understand the structure of exceptional groups of Lie type, the theory has also been used to study the geometry and topology of homogeneous spaces of p-adic Lie groups and their discrete subgroups of symmetries, in the same way that trees have been used to study free groups.
Borel subgroups are one of the two key ingredients in understanding the structure of simple ( more generally, reductive ) algebraic groups, in Jacques Tits ' theory of groups with a ( B, N ) pair.
* Jacques Tits publishes significant work on group theory.

Tits and buildings
Tits proved a remarkable theorem: all spherical buildings of rank at least three are connected with a group ; moreover, if a building of rank at least two is connected with a group then the group is essentially determined by the building.
Iwahori – Matsumoto, Borel – Tits and Bruhat – Tits demonstrated that in analogy with Tits ' construction of spherical buildings, affine buildings can also be constructed from certain groups, namely, reductive algebraic groups over a local non-Archimedean field.
Tits proved that all irreducible spherical buildings ( i. e. with finite Weyl group ) of rank greater than 2 are associated to simple algebraic or classical groups.

Tits and using
Tits are cavity-nesting birds, typically using trees, although Pseudopodoces builds a nest on the ground.
This can be seen systematically using a construction known as the magic square, due to Hans Freudenthal and Jacques Tits.
This can be seen systematically using a construction known as the magic square, due to Hans Freudenthal and Jacques Tits.

Tits and notion
The notion of a building was invented by Jacques Tits as a means of describing simple algebraic groups over an arbitrary field.

Tits and system
If a group G acts simplicially on a building X, transitively on pairs of chambers C and apartments A containing them, then the stabilisers of such a pair define a BN pair or Tits system.

Tits and building
Tits demonstrated how to every such group G one can associate a simplicial complex Δ = Δ ( G ) with an action of G, called the spherical building of G. The group G imposes very strong combinatorial regularity conditions on the complexes Δ that can arise in this fashion.
By treating these conditions as axioms for a class of simplicial complexes, Tits arrived at his first definition of a building.
Tits proved that any label-preserving automorphism of the affine building arises from an element of SL < sub > n </ sub >( Q < sub > p </ sub >).
Tits also proved that every time a building is described by a BN pair in a group, then in almost all cases the automorphisms of the building correspond to automorphisms of the group ( see ).
The results of Tits on determination of a group by its building have deep connections with rigidity theorems of George Mostow and Grigory Margulis, and with Margulis arithmeticity.

Tits and terms
The Tits group can be defined in terms of generators and relations by

Tits and properties
Moreover, the exceptions, the sporadic groups, share many properties with the finite groups of Lie type, and in particular, can be constructed and characterized based on their geometry in the sense of Tits.

Tits and maximal
and independently found the 8 classes of maximal subgroups of the Tits group as follows:

Tits and ;
Marsh and Willow Tits are difficult to identify on appearance alone ; the races occurring in the UK ( P. p. dresseri and P. m. kleinschmidti respectively ) are especially hard to separate.
Most Marsh Tits stay in their breeding territories year-round ; presumably this is related to their food-storing strategy.
Marsh Tits are monogamous and often pair for life ; one pair stayed together for six years.
Coal Tits from Asia follow Bergmann's Rule, being larger in colder regions ; those from further west, however, do not, as the birds from the uplands around the Mediterranean are larger than those from northern Europe.
In woodland, Eurasian Sparrowhawks account for the deaths of a third of all young Great Tits ; the two alarm calls given by Great Tits when mobbing a predator, and when fleeing from a nearby hawk, are within the optimum hearing range of both prey and predator ; however, the high-pitched alarm call given when a distant flying Eurasian Sparrowhawk is seen " can only be heard well by the tit.
Russo claims that the name " Total Nonstop Action " came from him and that the original concept was, as they were exclusive to pay per view, to be an edgier product than WWE ; the initials of the company " TNA " being a play on " T & A ", short for " Tits and Ass ".
Most burrow-nesting birds excavate their own burrows, but some use those excavated by other species ; Burrowing Owls, for example, sometimes use the burrows of prairie dogs, ground squirrels, badgers or tortoises, China's endemic White-browed Tits use the holes of ground-nesting rodents and Common Kingfishers occasionally nest in rabbit burrows.
The Azure Tit frequently hybridizes with the Blue Tit in western Russia ; the resulting birds are called " Pleske's Tits " ( Cyanistes × pleskei ) and were once considered a distinct species.
* Bruhat, François ; Tits, Jacques Groupes réductifs sur un corps local: I. Données radicielles valuées.
Situations included the trouble caused by the ghost-writing of Ricky's column in The Daily Tits ( parodying The Sun )-a complicated argument in favour of collectivism in Lenin's original was transformed to " I hate all paddies, but I wouldn't mind giving that Gloria Hunniford one " in the paper ; the North-South economic divide in England (" In Crunchthorpe there's a hundred and three per cent unemployment.

Tits and both
"; a 1983 piece, Sympatische Kommunistin (" Nice Communist Woman "), appeared on part one of the two-part single " Revol "; and, Titten, Türme, Tortellini (" Tits, Towers, Tortellini "), credited under its French title " Des tètons ( sic ), des tours, des tortellini ", was the cover artwork on both parts of the two-part, third single " She Is Suffering ".

Tits and cases
A study in Bourton Woods, Gloucestershire, England, found that nestboxes were used by Marsh Tits in successive years in only 20 % of cases.

Tits and .
The position was given to Jacques Tits.
Variations in the exploratory behaviour of Great Tits ( Parus major ) have been found to be linked with a gene orthologous to the human gene DRD4 ( Dopamine receptor D4 ) which is known to be associated with novelty-seeking behaviour.
*: The Tits group is generally considered of this form, though strictly speaking it is not of Lie type, but rather index 2 in a group of Lie type.
The alder carr and willow carr support the Swallowtail Butterfly and the Norfolk hawker dragonfly Aeshna isosceles, as well as Marsh Harriers, Bearded Tits and most of the country's Cetti's Warblers.
The Critical Mass rides have inspired a number of other bicycle movements, that range from political movements to the " Critical Tits " ride during the yearly Burning Man festival.
Volume 12: Picathartes to Tits and Chickadees.
Volume 12: Picathartes to Tits and Chickadees.
* Harrap, Simon & Quinn, David ( 1996 ): Tits, Nuthatches & Treecreepers.
* Perrins, Christopher M. ( 2003 ): " Penduline Tits ".
Volume 12: Picathartes to Tits and Chickadees.
In Britain, Great Tits and Blue Tits famously learned to break open the foil caps sealing bottles of milk that had been delivered to homes to get at the cream floating on top.
Tits are active, noisy and social birds.
Tits also have a variety of methods for attracting mates, primarily through their intricate, bouncing mating dance.
Tits have settled North America twice, probably at some time during the Early-Mid Pliocene.
* Ke, Dianhua & Lu, Xin ( 2009 ): Burrow use by Tibetan Ground Tits Pseudopodoces humilis: coping with life at high altitudes.
She wrote and drew short stories for Wimmen's Comix and many other anthologies, including Tits & Clits Comix, Wet Satin, and Anarchy Comics.
The Marsh Tit Poecile palustris is a passerine bird in the tit family Paridae and genus Poecile, closely related to the Willow, Père David's and Songar Tits.
Plumage characteristics include the lack of a pale wing panel ( formed by pale edges to the secondary feathers in the Willow Tit ), the Marsh Tit's glossier black cap and smaller black ' bib ', although none of these is ' completely reliable '; for example, juvenile Marsh Tits can show a pale wing panel.

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