What does COSET mean?

Heres the requested information: coset

Part of speech: noun, verb

Definition: A coset is a set of elements in a group that can be obtained by multiplying a fixed element of the group by each element of a subset of the group. As a verb, coset means to form a coset of a group.

Pronunciation (US): /ˈkoʊset/

Pronunciation (UK): /ˈkɒset/

Origin and Usage: The word coset comes from the combination of the words "cos" (abbreviation of "coset") and "set". It was first used in the mathematical sense in the 1930s. The term is commonly used in abstract algebra and group theory.

Synonyms: None

Related Words: cotes, escot, coses, cosec, cosey

Example Sentences:

• As a noun: "The coset of G with respect to H is denoted by gH."
• As a verb: "To coset a group, one needs to choose a fixed element of the group and a subset of the group."