Help


[permalink] [id link]
+
Page "Classification of finite simple groups" ¶ 19
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

classification and groups
Part 1, deals with the classification of crystalline substances by space groups and is not a numerical data compilation.
Other numerically important groups include the closely interrelated Chokwe and Lunda, the Ganguela and Nhaneca-Humbe, in both cases classification terms which stand for a variety of small groups, the Ovambo, the Herero, the Xindonga and scattered residual groups of Khoisan.
Based on phylogenetic research, the latest ( 2009 ) revision of the APG classification groups together the former families Hemerocallidaceae, Xanthorrhoeaceae sensu stricto and Asphodelaceae as the Xanthorrhoeaceae.
Based on phylogenetic research, the latest ( 2009 ) revision of the APG classification groups together these three families under the conserved name of Amaryllidaceae.
The subfamilial and tribal classification for the family is currently in a state of flux, with many of the groups being found to be grossly paraphyletic / polyphyletic.
Another classification system is based on biological activity ; in this classification, antibacterials are divided into two broad groups according to their biological effect on microorganisms: bactericidal agents kill bacteria, and bacteriostatic agents slow down or stall bacterial growth.
No classification of patients in subtypes and groups of subtypes is adequate.
The term black people is used in some socially-based systems of racial classification for humans of a dark-skinned phenotype, relative to other racial groups represented in a particular social context.
The solution of the problem is a special case of a Steiner system, which systems play an important role in the classification of finite simple groups.
These groups are sometimes classified under denominations, though for theological reasons many groups reject this classification system.
With the publication of Darwin's theory of evolution in 1859, the concept of a " natural system " of taxonomy gained a theoretical basis, and the idea was born that groups used in a system of classification should represent branches on the evolutionary tree of life.
They proposed the classification of legal system into seven groups, or so-called ' families ', in particular the
David proposed the classification of legal systems, according to the different ideology inspiring each one, into five groups or families:
In mathematics, the classification of the finite simple groups is a theorem stating that every finite simple group belongs to one of four categories described below.
The classification theorem has applications in many branches of mathematics, as questions about the structure of finite groups ( and their action on other mathematical objects ) can sometimes be reduced to questions about finite simple groups.
Thanks to the classification theorem, such questions can sometimes be answered by checking each family of simple groups and each sporadic group.
Daniel Gorenstein announced in 1983 that the finite simple groups had all been classified, but this was premature as he had been misinformed about the proof of the classification of quasithin groups.

classification and small
Their classification is divided into the small and large rank cases, where the rank is the largest rank of an odd abelian subgroup normalizing a nontrivial 2-subgroup, which is often ( but not always ) the same as the rank of a Cartan subalgebra when the group is a group of Lie type in characteristic 2.
Many libraries found this system too detailed and complex for their needs, and Cutter received many requests from librarians at small libraries who wanted the classification adapted for their collections.
Swords whose length is next to a different classification type are described with a prefix ' O -' ( for great ) or ' Ko -' ( for small ), e. g. a Wakizashi with a length of 59 cm is called an O-wakizashi ( almost a Katana ) whereas a Katana with 61 cm is called a Ko-Katana ( for small Katana ).
In extreme cases a public library with a small collection might just use a classification system for location of resources but might not use a complicated subject classification system.
After 1992, the discovery of numerous small icy objects with similar or even wider orbits than Pluto led to a debate over whether Pluto should remain a planet, or whether it and its neighbours should, like the asteroids, be given their own separate classification.
Thus a conservative classification of Sino-Tibetan / Tibeto-Burman would posit several dozen small coordinate families and isolates ; attempts at subgrouping are either geographic conveniences or hypotheses for further research.
** the TNM staging system classification for a small cancer tumor
According to the classification scheme of Zenkovich, the rivers on the east coast can be described as ‘ small ’; this classification is not related to their flow rate but to the insufficient amount of sediment that they transport to the coast to nourish it.
An advantage of the naive Bayes classifier is that it only requires a small amount of training data to estimate the parameters ( means and variances of the variables ) necessary for classification.
The term " neutercane " was coined by Bob Bundgaard for small subtropical cyclones which formed from mesoscale features, and the NHC began issuing public statements during the 1972 Atlantic hurricane season employing that classification.
Anyway, eastern dialects in the area tend to be classified as simply Catalan, and western dialects as simply Aragonese, with a small central area of more difficult classification.
When the number of possible labels is fairly small ( e. g. in the case of classification ), N may be set so that the probability of all possible labels is output.
Among the hundreds of standardization agreements ( current total is just short of 1300 ) are those for calibres of small arms ammunition, map markings, communications procedures, and classification of bridges.
In 1948, APA formed a small task force to create a new standardized psychiatric classification system.
Scientific classification, taxonomy and geographical categorization conventionally include the adjectives greater and lesser, when a large or small variety of an item is meant, as in the greater celandine as opposed to the lesser celandine.
Although only 75 feet width is required for this classification, the runway is 25 feet wider to allow it to serve as an alternate runway for turboprop and small regional jet aircraft.
In practice, however, classification is applied to finite patterns, and small imperfections may be ignored.
A microcar is the smallest automobile classification, usually applied to very small cars ( smaller than city cars ).
For diesels and electrics, North America uses the AAR wheel arrangement scheme while British practice uses a slightly simplified form of the European UIC classification scheme ( except for small diesel shunters, where Whyte notation is used ).

classification and especially
For a time, his classification considered bold and speculative, especially the proposal of a Nilo-Saharan languages family.
Basic tasks in library management include the planning of acquisitions ( which materials the library should acquire, by purchase or otherwise ), library classification of acquired materials, preservation of materials ( especially rare and fragile archival materials such as manuscripts ), the deaccessioning of materials, patron borrowing of materials, and developing and administering library computer systems.
The most common classification systems, LCC and DDC, are essentially enumerative, though with some hierarchical and faceted elements ( more so for DDC ), especially at the broadest and most general level.
It is pointed out that human psychiatric classification is often based on statistical description and judgment of behaviors ( especially when speech or language is impaired ) and that the use of verbal self-report is itself problematic and unreliable.
Part of the theoretical material has to do with evolutionary areas ( topics e and f above ), the rest relates especially to the problem of classification.
:"... 27 January 2005, the sixtieth anniversary of the liberation of Nazi Germany's death camp at Auschwitz-Birkenau, where a combined total of up to 1. 5 million Jews, Roma, Poles, Russians and prisoners of various other nationalities, and homosexuals, were murdered, is not only a major occasion for European citizens to remember and condemn the enormous horror and tragedy of the Holocaust, but also for addressing the disturbing rise in anti-Semitism, and especially anti-Semitic incidents, in Europe, and for learning anew the wider lessons about the dangers of victimising people on the basis of race, ethnic origin, religion, social classification, politics or sexual orientation ...."
By the very nature of a creole language, the phylogenetic classification of a particular creole usually is a matter of dispute ; especially when the pidgin precursor and its parent tongues ( which may have been other creoles or pidgins ) have disappeared before they could be documented.
Phylogenetic classification traditionally relies on inheritance of the lexicon, especially of " core " terms, and of the grammar structure.
Sometimes terms which refer to branches of soil science, such as pedology ( formation, chemistry, morphology and classification of soil ) and edaphology ( influence of soil on organisms, especially plants ), are used as if synonymous with soil science.
In certain technical fields ( especially computer programming and statistics ), a data type is a classification identifying one of various types of data, such as real-valued, integer or Boolean, that determines the possible values for that type ; the operations that can be done on values of that type ; the meaning of the data ; and the way values of that type can be stored.
A linear classifier is often used in situations where the speed of classification is an issue, since it is often the fastest classifier, especially when is sparse.
Despite the importance of some of his theories, Barbon's work ( especially A Discourse of Trade ) has been criticised for an excess of " definition and classification " instead of analysis and a disjointed style which lacked rigour.
He now devoted himself more especially to three lines of inquiry: ( i ) the structure and classification of the Mollusca ; ( ii ) the comparative anatomy and systematic arrangement of the fishes ; ( iii ) fossil mammals and reptiles and, secondarily, the osteology of living forms belonging to the same groups.
However, with a few exceptions, this goal is beyond the reach of current science, mostly because there is inadequate information about the nature of most Solar System bodies ( especially asteroids and comets ) to achieve such a classification.
But Hare's disagreement was not universal, and the similarities between his noncognitive theory and the emotive one — especially his claim, and Stevenson's, that moral judgments contain commands and are thus not purely descriptive — caused some to regard him as an emotivist, a classification he denied:
The most thorough overview of the different types of linkages in animals has been provided by M. Muller, who also designed a new classification system, which is especially well suited for biological systems.
Schneider and N. Andruskiewitsch finished their long-term classification effort of pointed Hopf algebras with coradical an abelian group ( excluding primes 2, 3, 5, 7 ), especially as the above finite quotients of Just like ordinary Semisimple Lie algebra they decompose into E ´ s ( Borel part ), dual F ´ s and K ´ s ( Cartan algebra ):
However, because of his more stringent criteria, he was not able to find enough data to classify all Papuan languages, especially many isolates which have no close relatives to aid in their classification.
* 1788 – Johann Friedrich Gmelin commences work on the 13th edition of Systema Naturae which includes the classification of many birds for the first time, especially those described by Latham
Regardless of the classification of Butler's beliefs and actions, it is undisputed that his actions and rhetoric were extremely influential in the North Carolina and national Populist movement, especially after the death of Leonidas L. Polk, the movement's elder statesman, in 1892.
Traditionally the Lombards were classified as East Germanic, however, the Lombardic language is now considered by many specialists to be close to Old High German, especially its Upper German dialects, which would make a classification as West rather than East Germanic more sensible.
Not all clinicians agree with the above classification, suggesting that it may overlabel patients with mildly reduced kidney function, especially the elderly, as having a disease.
In dealing with freehold estates, Littleton adopts a classification that has been followed by all writers who have attempted to systematize the English law of land, especially Sir Matthew Hale and Sir William Blackstone.

1.099 seconds.