Modulo a prime, there is only the subgroup of squares and a single coset. Therefore, the indirect isometries are a coset of E("n"), which can be denoted by E("n"). A coset of i("K") is called a ray class modulo m. Thus every element of "G" belongs to exactly one left coset of the subgroup "H". The chiral symmetry generators spontaneously broken comprise the coset space formula 6. A coset representative is a representative in the equivalence class sense. The backslash is also sometimes used to denote the right coset space. Then, formula 327 is a valid codeword (since both terms are in the same coset). Then acts by left multiplication on the product of coset spaces . Another example of a coset comes from the theory of vector spaces. Fix an -double coset and a -double coset . This correspondence identifies with the double coset . Choosing a constant is the same as choosing an element of the coset. Next he prepared tables for each of the right coset spaces formula 6. Next he found this element in the right coset space formula 8.