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Group vs Symmetry - What's the difference?

group | symmetry |

As nouns the difference between group and symmetry

is that group is a number of things or persons being in some relation to one another while symmetry is exact correspondence on either side of a dividing line, plane, center or axis.

As a verb group

is to put together to form a group.

group

English

Alternative forms

* groupe (obsolete)

Noun

(en noun)
  • A number of things or persons being in some relation to one another.
  • * , chapter=5
  • , title= The Mirror and the Lamp , passage=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.}}
  • * {{quote-magazine, date=2013-07-19, author=(Peter Wilby)
  • , volume=189, issue=6, page=30, magazine=(The Guardian Weekly) , title= Finland spreads word on schools , passage=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.}}
  • (group theory) A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
  • (geometry, archaic) An effective divisor on a curve.
  • A (usually small) group of people who perform music together.
  • (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 entity consisting of certain atoms whose presence provides a certain property to a molecule, such as the methyl 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 at the same time not playing teams that belong to other sets in the division.
  • *
  • Synonyms

    * (number of things or persons being in some relation to each other) collection, set * (people who perform music together) band, ensemble * See also

    Hypernyms

    * (in group theory) monoid

    Derived terms

    * Abelian group, abelian group * encounter group * factor group * free group * fundamental group * general linear group * girl group * group homomorphism * group isomorphism * group leader * group representation * group theory * Lie group * Local Group * minority group * p -group * pop group * quotient group * simple group * subgroup

    Verb

    (en verb)
  • To put together to form a group.
  • To come together to form a group.
  • Synonyms

    * (put together to form a group) amass, categorise/categorize, classify, collect, collect up, gather, gather together, gather up

    symmetry

    Noun

    (symmetries)
  • Exact correspondence on either side of a dividing line, plane, center or axis.
  • (uncountable) The satisfying arrangement of a balanced distribution of the elements of a whole.
  • * {{quote-book, year=1922, author=(Ben Travers), title=(A Cuckoo in the Nest)
  • , chapter=1 citation , passage=She was like a Beardsley Salome , he had said. And indeed she had the narrow eyes and the high cheekbone of that creature, and as nearly the sinuosity as is compatible with human symmetry .}}

    References