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proper subgroup वाक्य

"proper subgroup" हिंदी मेंproper subgroup in a sentence
उदाहरण वाक्यमोबाइल
  • PGL is in general a proper subgroup of the collineation group.
  • The isometries form a proper subgroup of, namely PSU ( 2 ).
  • For, there are additional conditions, i . e . is then a proper subgroup of.
  • The Galois group of a polynomial of degree n is S _ n or a proper subgroup of that.
  • A subgroup of ? is called an " isolated subgroup " if it is a segment and is a proper subgroup.
  • Hence ? is induced from a character of a proper subgroup of " G " containing " N ."
  • There exist finite groups other than cyclic groups with the property that all proper subgroups are cyclic; the Klein group is an example.
  • Every proper subgroup of " G " can be assumed a solvable group, meaning that much theory of such subgroups could be applied.
  • In other words " H " is a maximal element of the partially ordered set of proper subgroups of " G ".
  • It is not possible for a finite group to be mapped by inclusion ( i . e . by a monomorphism ) as a proper subgroup of itself.
  • This included, as a by-product, the classification of all minimal finite simple groups ( simple groups for which every proper subgroup is solvable ).
  • This proves that every finite group of odd order is solvable, as a minimal counterexample must be a simple group such that every proper subgroup is solvable.
  • For example, any non-identity proper subgroup of the nonabelian group of order six is a maximal nilpotent subgroup, but only those of order two are Carter subgroups.
  • There are two crystallographic point groups with the property that no crystallographic point group has it as proper subgroup : " O h " and " D 6h ".
  • This same paper gives a number of examples of groups which cannot be realized as Zappa Sz�p products of proper subgroups, such as the quaternion group and the alternating group of degree 6.
  • The Feit Thompson theorem can be thought of as the next step in this process : they show that there is no non-cyclic simple group of odd order such that every proper subgroup is solvable.
  • Note that in the classification of finite simple groups, " K "-group is more used to mean a group whose proper subgroups only have composition factors amongst the known finite simple groups.
  • A famous class of counterexamples to Burnside's problem is formed by finitely generated non-cyclic infinite groups in which every nontrivial proper subgroup is a finite cyclic group, the so-called Tarski Monsters.
  • But a finite group ( the multiplicative group of " D " in our case ) cannot be a union of conjugates of a proper subgroup; hence, " n " = 1.
  • This notion may also be considered as a numerical range " relative " to the proper subgroup U ( K ) \ times U ( M ) of the full unitary group U ( KM ).
  • अधिक वाक्य:   1  2

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