different between group vs variety

English

Alternative forms

• groop (non-standard)
• groupe (obsolete)

Etymology

From French groupe (“cluster, group”), from Italian gruppo, groppo (“a knot, heap, group, bag (of money)”), from Vulgar Latin *cruppo, Renaissance Latin grupus, from Proto-Germanic *kruppaz (“lump, round mass, body, crop”), from Proto-Indo-European *grewb- (“to crumple, bend, crawl”). Cognate with German Kropf (“crop, craw, bunch”), Old English cropp, croppa (“cluster, bunch, sprout, flower, berry, ear of corn, crop”), Dutch krop (“craw”), Icelandic kroppr (“hump, bunch”). Doublet of crop and croup.

Pronunciation

• enPR: gro?op, IPA^(key): /??u?p/
• Rhymes: -u?p

Noun

group (plural groups)

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.
   • 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).

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.
9. (military) An air force formation.
10. (geology) A collection of formations or rock strata.
11. (computing) A number of users with same rights with respect to accession, modification, and execution of files, computers and peripherals.
12. An element of an espresso machine from which hot water pours into the portafilter.
13. (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.
14. (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.
15. (business) A commercial organization.

Synonyms

• (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

Hypernyms

• (in group theory): monoid

Hyponyms

Derived terms

• subgroup

Related terms

Descendants

• ? Gulf Arabic: ?????
• ? Japanese: ???? (gur?pu)
• ? Korean: ?? (geurup)
• ? Tongan: kulupu

Translations

References

• group on Wikipedia.Wikipedia

Verb

group (third-person singular simple present groups, present participle grouping, simple past and past participle grouped)

1. (transitive) To put together to form a group.

   group the dogs by hair colour

2. (intransitive) 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; see also Thesaurus:round up
• (come together to form a group): assemble, begather, foregather, throng; see also Thesaurus:assemble

Translations

Further reading

• group in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• group in The Century Dictionary, New York, N.Y.: The Century Co., 1911.

English

Alternative forms

• variëty (rare)

Etymology

From Middle French varieté, from Latin variet?s (“difference, diversity”), from varius (“different, various”); see various. Displaced native Old English misl?cnes.

Pronunciation

• enPR: v?-r???-t?, IPA^(key): /v???a?.?.ti/
• Rhymes: -a??ti
• Hyphenation: va?ri?e?ty

Noun

variety (countable and uncountable, plural varieties)

1. The quality of being varied; diversity.

   Antonym: sameness

2. A specific variation of something.
3. A number of different things.

   Synonyms: array, assortment

4. A state of constant change.
5. (taxonomy) A rank in a taxonomic classification, below species (infraspecific), either below subspecies (subspecific) or ranked comparably therewith.
6. (cybernetics) The total number of distinct states of a system.
7. (cybernetics) Logarithm of the base 2 of the total number of distinct states of a system.
8. (linguistics) A term used for a specific form of a language, neutral to whether that form is a dialect, accent, register, etc. and to its prestige level.
9. (algebra, universal algebra) An equational class; the class of all algebraic structures of a given signature, satisfying a given set of identities.
10. (algebraic geometry) An algebraic variety.
11. The kind of theatrical entertainment given in variety shows.
12. The production of, or performance in, variety shows.

Synonyms

• (quality of being varied): See also Thesaurus:nonuniformity
• (algebraic geometry): algebraic variety
• (universal algebra): equational class, equational variety, variety of algebras

Hyponyms

• (specific variation of something): cultivar

Derived terms

Related terms

Translations

See also

• species
• (cybernetics: logarithm): information entropy

Further reading

• variety in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• variety in The Century Dictionary, New York, N.Y.: The Century Co., 1911.