Group

/ɡɹuːp/ · noun

Meaning

A number of things or persons being in some relation to one another..

Definitions by Sense

1. A number of things or persons being in some relation to one another.
2. (group theory) A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
3. (geometry, archaic) An effective divisor on a curve.
4. A (usually small) group of people who perform music together.
5. (astronomy) A small number (up to about fifty) of galaxies that are near each other.
6. (chemistry) A column in the periodic table of chemical elements.
7. (chemistry) A functional group.
8. (sociology) A subset of a culture or of a society.

Example Sentences

there is a group of houses behind the hill; he left town to join a Communist group

A group of people is/are gathering in front of the Parliament to demonstrate against the Prime Minister's proposals.

Then everybody once more knelt, and soon the blessing was pronounced. The choir and the clergy trooped out slowly, […], down the nave to the western door. […] At a seemingly immense distance the surpliced group stopped to say the last prayer.

Imagine a country where children do nothing but play until they start compulsory schooling at age seven. Then, without exception, they attend comprehensives until the age of 16. Charging school fees is illegal, and so is sorting pupils into ability groups by streaming or setting.

2007, Zhong-Qi Ma, Group Theory for Physicists, World Scientific, page 277, In Chap. 4 the fundamental concepts on Lie groups have been introduced through the SO(3) group and its covering group SU(2).

Throughout this section, we shall assume the existence of finitely presented groups with unsolvable word problem.

In this chapter we give some examples of Fuchsian groups. The most interesting and important ones are the so-called "arithmetic" Fuchsian groups, i.e., discrete subgroups of PSL(2,R) obtained by some "arithmetic" operations. One such construction we have already seen: if we choose all matrices of SL(2,R) with integer coefficients, then the corresponding elements of PSL(2,R) form the modular group PSL(2,Z).

Did you see the new jazz group?

Synonyms for group

Antonyms for group

Related Words

Word Forms

• groups
• groop
• groupe
• grouping
• grouped

Usage Notes

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