Left Coset (original) (raw)

TOPICS

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld

Algebra
Group Theory
Group Properties

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

Explore with Wolfram|Alpha

More things to try:

ack(2,ack(2,1))
expand sin(x+y+z)
Is the golden ratio transcendental?

References

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." FromMathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LeftCoset.html

Subject classifications