quaternion group sentence in Hindi
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- The quaternion group is the smallest example of nilpotent non-abelian group.
- The other non-abelian group of order 8 is the quaternion group " Q " 8.
- The stabilizer of 4 points is the quaternion group.
- Consider for example, the simple quaternion group, whose cycle graph is shown on the right.
- This event marks the discovery of the quaternion group.
- The generalized quaternion group of order 16 also forms a subgroup of 2 " O ".
- A generalization due to Hall are the A-groups, those groups with dihedral and generalized quaternion groups.
- They all have unit magnitude and therefore lie in the unit quaternion group Sp ( 1 ).
- The quaternion group has five irreducible representations, and their dimensions are 1, 1, 1, 1, 2, respectively.
- The quaternion group is a normal subgroup of the binary tetrahedral group U ( " H " ).
- All 24 units have absolute value 1 and therefore lie in the unit quaternion group Sp ( 1 ).
- The Schur multiplier of the quaternion group is trivial, but the Schur multiplier of dihedral 2-groups has order 2.
- The dihedral groups are both very similar to and very dissimilar from the quaternion groups and the semidihedral groups.
- The quaternion group has normal subgroups of order 4 and 2 but is not a [ semi ] direct product.
- For instance, he shows " a Hamilton group of order 2 " a " has quaternion groups as subgroups ".
- The quaternion group consisting of the 8 Lipschitz units forms a normal subgroup of 2 " O " of index 6.
- More generally, when " n " is a power of 2, the dicyclic group is isomorphic to the generalized quaternion group.
- Finally, there is the generalized quaternion group of order 16 . talk ) 15 : 20, 26 April 2015 ( UTC)
- The quaternion group consisting of the 8 Lipschitz units forms a normal subgroup of 2 " T " of index 3.
- The elements " x " and " y " generate a normal subgroup isomorphic to the quaternion group of order 8.
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