Примеры использования Finite simple на Английском языке и их переводы на Русский язык
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A sporadic group is one of the 26 exceptional groups found in the classification of finite simple groups.
Inspection of the list of finite simple groups shows that groups of Lie type over a finite field include all the finite simple groups other than the cyclic groups,
The classification of finite simple groups says that most finite simple groups arise as the group G(k)
Although it was known since 19th century that other finite simple groups exist(for example, Mathieu groups), gradually a belief formed that nearly all finite simple groups can be accounted for by appropriate extensions of Chevalley's construction, together with cyclic
can sometimes be reduced to questions about finite simple groups.
So to classify these groups one takes every central extension of every known finite simple group, and finds all simple groups with a centralizer of involution with this as a component.
difficult analysis of the structure of a finite simple group.
One of the most important mathematical achievements of the 20th century was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 1980, that culminated in a complete classification of finite simple groups.
finite simple groups of Lie type does have a precise definition, and">they make up most of the groups in the classification of finite simple groups.
Michio Suzuki showed that every finite, simple, non-abelian, CA-group is of even order.
This result was first extended to the Feit-Hall-Thompson theorem showing that finite, simple, non-abelian, CN-groups had even order,
Searchable database of representations and other data for many finite simple groups.
Simpler techniques can be applied that are known to be adequate for the types of groups we know to be finite simple.
is a finite simple group that has important applications in algebra, geometry, and number theory.
In the mathematical classification of finite simple groups, a thin group is a finite group such that for every odd prime number p, the Sylow p-subgroups of the 2-local subgroups are cyclic.
Richard Brauer(1957) suggested using the centralizers of involutions of simple groups as the basis for the classification of finite simple groups, as the Brauer-Fowler theorem shows that there are only a finite number of finite simple groups with given centralizer of an involution.
then it may be written as a union of disjoint(finite) simple cycles if and only if every finite subgraph of G can be extended(by adding more edges
Let G be a(finite and simple) graph with n≥ 3 vertices.
The simple thin finite groups, those with 2-local p-rank at most 1 for odd primes p,