Editing Coset (section)

== More applications ==
* Cosets of {{math|'''Q'''}} in {{math|'''R'''}} are used in the construction of [[Vitali set]]s, a type of [[non-measurable set]].
* Cosets are central in the definition of the [[Transfer (group theory)|transfer]].
* Cosets are important in computational group theory. For example, [[Optimal solutions for Rubik's Cube#Thistlethwaite's algorithm|Thistlethwaite's algorithm]] for solving [[Rubik's Cube]] relies heavily on cosets.
* In geometry, a [[Clifford–Klein form]] is a double coset space {{math|Γ{{hsp}}\{{hsp}}''G''{{hsp}}/{{hsp}}''H''}}, where {{math|''G''}} is a [[reductive Lie group]], {{math|''H''}} is a closed subgroup, and {{math|Γ}} is a discrete subgroup (of {{math|''G''}}) that acts [[properly discontinuously]] on the [[homogeneous space]] {{math|''G''{{hsp}}/{{hsp}}''H''}}.