Coset

/ˈkoʊsɛt/ noun

Definition

In mathematics, a subset of a group formed by multiplying all elements of a subgroup by a fixed element.

Etymology

A mathematical term coined in the 20th century from the prefix 'co-' and the term 'set,' created by mathematicians to describe a specific algebraic structure with no direct etymological ancestor.

Kelly Says

Cosets are a hidden backbone of abstract algebra—they help mathematicians understand symmetry and structure so fundamental that they show up in everything from cryptography to particle physics.

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