# Definition of Coset. Meaning of Coset. Synonyms of Coset

Here you will find one or more explanations in English for the word Coset. Also in the bottom left of the page several parts of wikipedia pages related to the word Coset and, of course, Coset synonyms and on the right images related to the word Coset.

## Definition of Coset

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## Meaning of Coset from wikipedia

- set of G into disjoint, equal-size subsets called cosets. There are left cosets and right cosets. Cosets (both left and right) have the same number of elements...
- In coding theory, a coset leader is a word of minimum weight in any particular coset - that is, a word with the lowest amount of non-zero entries. Sometimes...
- In group theory, a field of mathematics, a double coset is a collection of group elements which are equivalent under the symmetries coming from two subgroups...
- correspond to the left cosets G/Ho, and the marked point o corresponds to the coset of the identity. Conversely, given a coset space G/H, it is a homogeneous...
- In mathematics, coset enumeration is the problem of counting the cosets of a subgroup H of a group G given in terms of a presentation. As a by-product...
- subgroup H in a group G is the number of left cosets of H in G, or equivalently, the number of right cosets of H in G. The index is denoted | G : H | {\displaystyle...
- the original group, and the other equivalence classes are precisely the cosets of that normal subgroup. The resulting quotient is written G / N {\displaystyle...
- In mathematics, the coset construction (or GKO construction) is a method of constructing unitary highest weight representations of the Virasoro algebra...
- the area of mathematics called combinatorial group theory, the Schreier coset graph is a graph ****ociated with a group G, a generating set {xi : i in...
- the index [ G : H ] {\displaystyle [G:H]} , defined as the number of left cosets of H {\displaystyle H} in G {\displaystyle G} . Lagrange's theorem — If...