Left Coset

For a group G, consider a subgroup H with elements h_i and an element x of G not in H, then xh_i for i=1, 2, ... constitute the left coset of the subgroup H with respect to x.

See also

Coset, Right Coset

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Scott, W. R. Group Theory. New York: Dover, p. 19, 1987.

Referenced on Wolfram|Alpha

Left Coset

Cite this as:

Weisstein, Eric W. "Left Coset." From MathWorld--A Wolfram Web Resource.

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