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

9 June 2025

HERMAPHRODITE

(noun) one having both male and female sexual characteristics and organs; at birth an unambiguous assignment of male or female cannot be made


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Coffee Trivia

In 1511, leaders in Mecca believed coffee stimulated radical thinking and outlawed the drink. In 1524, the leaders overturned that order, and people could drink coffee again.

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