group

UK /ɡɹuːp/ · US /ɡɹup/

Etymology From French groupe (“cluster, group”), from Italian gruppo, groppo (“a knot, heap, group, bag (of money)”). In the "group theory" sense, calqued from French groupe, a term coined by the young French mathematician Évariste Galois in 1830. Cognate with German Kropf (“crop, craw, bunch”); Old English cropp, croppa (“cluster, bunch, sprout, flower, berry, ear of corn, crop”) (whence English crop); Dutch krop (“craw”), Icelandic kroppr (“hump, bunch”). Doublet of crop and croup.

Synonyms

collection, set, band, ensemble, group

Antonyms

individual, monad, union, unity

Derived terms

274 terms

abelian group, ABO group, action group, activity group psychotherapy, additive group, advocacy group, affine group, age group, airgroup, algebraic fundamental group, algebraic group, allogroup, alternating group, automorphism group, baby monster group, battlegroup, biogroup, block group, blood group, boron group, boundary group, braid group, Brauer group, breakout group, campaign group, capturing group, carbon group, cell group, chain group, chatgroup, chat group, Chow group, chromium group, circle group, codegroup, cogroup, community group, commutative group, concern group, control group, copper group, Coxeter group, Cremona group, crown group, cultigroup, cybergroup, cycle group, cyclic group, Dakota group, degroup, demogroup, demo group, derived group, descent group, dihedral group, ecogroup, e-group, ethnic group, Euclidean group, Eurogroup, filegroup, flying saucer group, focus-group, focus group, foregroup, free abelian group, friend group, frieze group, front group, Fuchsian group, galaxy group, Galois group, genogroup, ginger group, grelfie, Grothendieck group, group action, groupage, groupality, group box, group buying, group captain, groupcast, groupcentric, group certificate, group chat, group dynamics, group functor, group home, group homomorphism, group hug, groupie, groupification, groupify, groupish, groupism, group isomorphism, groupist, group leader, grouplet, grouplike, group marriage, groupmate, groupmind, groupness, groupo, group object, group of death, group of Lie type, groupoid, group operation, group photo, group punishment, group representation, group representation constituency, group ring, group scheme, group selection, groupset, group sex, groupspeak, group-specific antigen, group stage, group theoretic, group-theoretic, group theoretical, group theoretician, group theorist, group theory, group therapist, group therapy, groupthink, group-think, groupthinker, group-thinking, group velocity, groupware, groupwide, groupwise, groupwork, groupy, grundle, gyrogroup, haplogroup, hate group, head group, headgroup, Heisenberg group, Hickson compact group, homegroup, homology group, hypergroup, income group, ingroup, in-group, interest group, intergroup, intragroup, iron group, isogroup, lamplighter group, large group awareness training, large-group awareness training, large quasar group, laughing group, leaving group, linear algebraic group, linear group, living room group, lobby group, locally compact group, Lorentz group, macrogroup, main group, main group element, manganese group, mapping class group, Markush group, mastergroup, matrix group, megagroup, metagroup, misgroup, Möbius group, monogenous group, monophyletic group, monster group, Monster group, multigroup, music group, neighbouring group, neighbouring group participation, newgroup, newsgroup, non-capturing group, nongroup, Nottingham group, orthogonal group, orthogroup, outgroup, out-group, overgroup, paragroup, paratopological group, pathogroup, peer group, permutation group, phenogroup, phylogroup, platinum group, playgroup, point group, pressure group, profinite group, prosthetic group, protecting group, protogroup, pseudogroup, quasigroup, ratepayers group, Ree group, re-group, renormalization group, rock group, scandium group, Selmer group, semigroup, serogroup, sidegroup, silica group, skin group, skin-group, social group, solvable group, space group, special interest group, special linear group, special unitary group, species group, splinter group, sporadic group, steering group, stem group, study group, subgroup, supergroup, support group, surjunctive group, Suzuki group, symbol group, symmetric group, symmetry group, symplectic group, tag group, tailgroup, talkgroup, target group, T-group, titanium group, Tits group, topological group, trivial group, ungroup, unitary group, user group, vanadium group, wallpaper group, Weyl group, Witt group, workgroup, working group, year-group, yeargroup, zinc group

Hypernyms

monoid

Hyponyms

103 terms

Abelian group, affinity group, battalion tactical group, Bianchi group, book discussion group, book group, boy group, Einsatz group, encounter group, factor group, free group, fundamental group, general linear group, girl group, group of galaxies, informal group, kinematic group, Kleinian group, Lie group, Local Group, minority group, moving group, p-group, play group, pop group, quotient group, rap group, reading group, silica group, simple group, status group, subgroup, sub-group, task group, technical group, total group, tour group, triangle group, Tuesday Group, von Dyck group, we-group, youth group, set, collection, ensemble, cluster, bunch, clump, aggregate, assemblage, assortment, array, hodgepodge, agglomerate, conglomerate, society, family, tribe, nation, band, clan, clique, organization, class, squad, retinue, cohort, platoon, battalion, brigade, division, troop, army, herd, flock, mob, pride, gaggle, horde, host, legion, litter, nest, rabble, swarm, throng, wake, forest, archipelago, galaxy, duo, trio, quartet, quintet, hexad, heptad, octad, nonad, decad, polyad, bulk, job lot, lot

Meronyms

animal, en masse, entity, part, person, thing