Примеры использования Finite group на Английском языке и их переводы на Русский язык
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It is known that every finite group is realizable over any function field in one variable over the complex numbers C, and more generally over function fields
The existence of a complement to a normal Hall subgroup H of a finite group G can be proved in the following steps:
In general the finite group associated to an endomorphism of a simply connected simple algebraic group is the universal central extension of a simple group,
The Schur multiplier M( G){\displaystyle\operatorname{M}(G)} of a finite group G is a finite abelian group whose exponent divides the order of G. If a Sylow p-subgroup of G is cyclic for some p,
One of Burnside's best known contributions to group theory is his paqb theorem, which shows that every finite group whose order is divisible by fewer than three distinct primes is solvable.
in finite characteristics it is also possible to take quotients by finite group schemes that are not étale.
Schur(1904, 1907) showed that every finite group G has associated to it at least one finite group C,
for every C of that size the subgroup K is isomorphic to the Schur multiplier of G. If the finite group G is moreover perfect,
showed that if a finite group G has a rigid set then it can often be realized as a Galois group over a cyclotomic extension of the rationals.
thus G is a finite group generated by two elements of orders two
Finite groups with preassigned systems of X n-semicommuting subgroups are considered.
Finite groups with given systems of K-U-subnormal subgroups// Ukrainian Mathematical Journal.
Finite groups with generalized P-subnormal second maximal subgroups// Asian-European Journal of Mathematics.
Finite groups with all 2-maximal subgroups K-P-subnormal// Mathematical Sciences Research Journal.
Finite groups with given generalized maximal subgroups.
Ona finite groups with the restricted indices of maximal subgroups/ V.S.
All finite groups are periodic.
The following list in mathematics contains the finite groups of small order up to group isomorphism.
According to Charles Weibel,"36 of them exist as finite groups.
Wu also extended the classification of Suzuki et al. to locally finite groups.