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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23 December 2024

QUANDONG

(noun) Australian tree having hard white timber and glossy green leaves with white flowers followed by one-seeded glossy blue fruit


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Coffee Trivia

Contrary to popular belief, coffee beans are not technically beans. They are referred to as such because of their resemblance to legumes. A coffee bean is a seed of the Coffea plant and the source for coffee. It is the pit inside the red or purple fruit, often referred to as a cherry. Just like ordinary cherries, the coffee fruit is also a so-called stone fruit.

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