group
Pronunciation Noun
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.020
Pronunciation Noun
group (plural groups)
- A number of things or persons being in some relation to one another.
- there is a group of houses behind the hill; he left town to join a Communist group
- A group of people gathered in front of the Parliament to demonstrate against the Prime Minister's proposals.
- (group theory) A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
- 1977, Roger C. Lyndon, Paul E. Schupp, Combinatorial Group Theory, Springer, page 192 ↗,
- Throughout this section, we shall assume the existence of finitely presented groups with unsolvable word problem.
- 1992, Svetlana Katok, Fuchsian Groups, University of Chicago Press, page 112 ↗,
- 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).
- 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).
- 1977, Roger C. Lyndon, Paul E. Schupp, Combinatorial Group Theory, Springer, page 192 ↗,
- (geometry, archaic) An effective divisor on a curve.
- A (usually small) group of people who perform music together.
- Did you see the new jazz group?
- (astronomy) A small number (up to about fifty) of galaxies that are near each other.
- (chemistry) A column in the periodic table of chemical elements.
- (chemistry) A functional group.
- Nitro is an electron-withdrawing group.
- (sociology) A subset of a culture or of a society.
- (military) An air force formation.
- (geology) A collection of formations or rock strata.
- (computing) A number of users with same rights with respect to accession, modification, and execution of files, computers and peripherals.
- An element of an espresso machine from which hot water pours into the portafilter.
- (music) A number of eighth, sixteenth, etc., notes joined at the stems; sometimes rather indefinitely applied to any ornament made up of a few short notes.
- (sports) A set of teams playing each other in the same division, while not during the same period playing any teams that belong to other sets in the division.
- (business) A commercial organization.
- (number of things or persons being in some relation to each other) collection, set
- (people who perform music together) band, ensemble
- See also Thesaurus:group
- French: groupe
- German: Gruppe
- Italian: gruppo, formazione
- Portuguese: grupo
- Russian: гру́ппа
- Spanish: grupo
- German: Gruppe, Musikgruppe
- Portuguese: grupo
- Russian: гру́ппа
- Spanish: grupo
- Russian: гру́ппа
- Italian: formazione di volo
- Russian: авиапо́лк
- Italian: formazione rocciosa
- German: Benutzergruppe
- German: Gruppe
group (groups, present participle grouping; past and past participle grouped)
- (transitive) To put together to form a group.
- group the dogs by hair colour
- (intransitive) To come together to form a group.
- (put together to form a group) amass, categorise/categorize, classify, collect, collect up, gather, gather together, gather up; see also Thesaurus:round up
- (come together to form a group) assemble, begather, foregather, throng; see also Thesaurus:assemble
- French: grouper
- German: gruppieren
- Italian: raggruppare
- Portuguese: agrupar
- Russian: группировать
- Spanish: agrupar
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.020