Category:Examples of Cosets
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This category contains examples of Coset.
Left Coset
The left coset of $x$ modulo $H$, or left coset of $H$ by $x$, is:
- $x \circ H = \set {y \in S: \exists h \in H: y = x \circ h}$
That is, it is the subset product with singleton:
- $x \circ H = \set x \circ H$
Right Coset
The right coset of $y$ modulo $H$, or right coset of $H$ by $y$, is:
- $H \circ y = \set {x \in S: \exists h \in H: x = h \circ y}$
That is, it is the subset product with singleton:
- $H \circ y = H \circ \set y$
Pages in category "Examples of Cosets"
The following 20 pages are in this category, out of 20 total.
C
- Coset/Examples
- Coset/Examples/Dihedral Group D3/Cosets of Subgroup Generated by b
- Coset/Examples/Dihedral Group D3/Cosets of Subgroup Generated by b/Left Cosets
- Coset/Examples/Dihedral Group D3/Cosets of Subgroup Generated by b/Right Cosets
- Coset/Examples/Subgroup of Infinite Cyclic Group
- Coset/Examples/Symmetric Group on 3 Letters/Cosets of Alternating Subgroup
- Coset/Examples/Symmetry Group of Equilateral Triangle/Cosets of Reflection Subgroup
- Cosets of Positive Reals in Multiplicative Group of Complex Numbers
D
- Dihedral Group D4/Matrix Representation/Formulation 2/Examples of Cosets/Subgroup Generated by A
- Dihedral Group D4/Matrix Representation/Formulation 2/Examples of Cosets/Subgroup Generated by A/Left Cosets
- Dihedral Group D4/Matrix Representation/Formulation 2/Examples of Cosets/Subgroup Generated by A/Right Cosets
- Dihedral Group D4/Matrix Representation/Formulation 2/Examples of Cosets/Subgroup Generated by B, F
- Dihedral Group D4/Matrix Representation/Formulation 2/Examples of Cosets/Subgroup Generated by B, F/Left Cosets
- Dihedral Group D4/Matrix Representation/Formulation 2/Examples of Cosets/Subgroup Generated by B, F/Right Cosets
- Dihedral Group D4/Matrix Representation/Formulation 2/Examples of Cosets/Subgroup Generated by D
- Dihedral Group D4/Matrix Representation/Formulation 2/Examples of Cosets/Subgroup Generated by D/Left Cosets
- Dihedral Group D4/Matrix Representation/Formulation 2/Examples of Cosets/Subgroup Generated by D/Right Cosets
- Dihedral Group D4/Subgroups/Cosets/Subgroup Generated by b
- Dihedral Group D4/Subgroups/Cosets/Subgroup Generated by b/Left Cosets
- Dihedral Group D4/Subgroups/Cosets/Subgroup Generated by b/Right Cosets