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

19 May 2025

CHEMICAL

(adjective) of or made from or using substances produced by or used in reactions involving atomic or molecular changes; “chemical fertilizer”


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Coffee Trivia

The Boston Tea Party helped popularize coffee in America. The hefty tea tax imposed on the colonies in 1773 resulted in America switching from tea to coffee. In the lead up to the Revolutionary War, it became patriotic to sip java instead of tea. The Civil War made the drink more pervasive. Coffee helped energize tired troops, and drinking it became an expression of freedom.

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