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right coset

For H \le G and g \in G, the set Hg = \{hg : h \in H\} -- every element of H multiplied by g on the right. Need not equal the matching left coset gH unless G is abelian or H is normal.

Examples

  • That same H's right coset H(1\,2\,3) turns out to differ from the left coset (1\,2\,3)H, since H isn't normal in S_3.

See also

left coset normal subgroup
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