Applications
- Cosets of Q in R are used in the construction of Vitali sets, a type of non-measurable set.
- Cosets are central in the definition of the transfer.
- Cosets are important in computational group theory. For example Thistlethwaite's algorithm for solving Rubik's Cube relies heavily on cosets.
- Coset leaders are used in decoding received data in Linear error-correcting codes.
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