For a group 
, consider a subgroup 
with elements 
and an element 
of 
not in 
, then 
for 
, 2, ... constitute the left coset of the subgroup 
with respect to 
.
Left Coset
See also
Coset, Right CosetExplore with Wolfram|Alpha
References
Scott, W. R. Group Theory. New York: Dover, p. 19, 1987.Referenced on Wolfram|Alpha
Left CosetCite this as:
Weisstein, Eric W. "Left Coset." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LeftCoset.html