COSET

Etymology

Noun

coset (plural cosets)

(algebra, group theory) The set that results from applying a group's binary operation with a given fixed element of the group on each element of a given subgroup.

Usage notes

Mathematically, given a group \(G\) with binary operation \(\circ\), element \(g\in G\) and subgroup \(H\subseteq G\), the set \(\left \{ g\circ h: h\in H \right \}\), which also defines the left coset if \(G\) is not assumed to be abelian.

The concept is relevant to the (mathematical) definitions of normal subgroup and quotient group.

Anagrams

• Coste, OTECs, ScotE, cotes, scote

Source: Wiktionary



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Word of the Day

2 April 2025

COVERT

(adjective) secret or hidden; not openly practiced or engaged in or shown or avowed; “covert actions by the CIA”; “covert funding for the rebels”


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Coffee Trivia

The expression “coffee break” was first attested in 1952 in glossy magazine advertisements by the Pan-American Coffee Bureau.

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