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Meaning of GROUP

Pronunciation:  groop

 
Matching Terms:  grouch, grouchily, groucho, grouchy, ground, ground almond, ground attack, ground bait, ground ball, ground bass, ground beef, ground beetle, ground cable, ground cedar, ground cherry, ground cloth, ground control, ground cover, ground crew, ground effect, ground fir, ground fire, ground floor, ground glass, ground ivy, ground level, ground loop, ground noise, ground out, ground pine, ground pink, ground plan, ground rattler, ground reconnaissance, ground rent, ground roller, ground rose, ground rule, ground running and walking, ground sloth, ground snake, ground squirrel, ground state, ground stone, ground stroke, ground substance, ground swell, ground tackle, ground water, ground wave, groundage, groundberry, groundbreaking, groundbreaking ceremony, ground-controlled approach, groundcover, groundedly, ground-effect machine, ground-emplaced mine, grounden, grounder, groundfish, ground-floor, groundhog, groundhog day, grounding, groundless, ground-level, groundling, groundly, groundmass, groundnut, groundnut oil, groundnut vine, grounds, groundsel, groundsel bush, groundsel tree, ground-service crew, ground-shaker, groundsheet, groundskeeper, groundsman, groundspeed, groundwater, groundwater flow, groundwater level, groundwater recharge, groundwater recharge area, groundwork, group 3, group 4, group a, group ab, group action, group amentiferae, group b, group captain, group centrospermae, group code recording, group discussion, group dynamics, group identifier, group o, group participation, group pteridospermae, group pteridospermaphyta, group selection, group separator, group theory, group therapy, group translocation, group(a), grouped, grouper, groupie, grouping, group-sweeping scheduling, groupware, groupwise, grous whortleberry, grouse, grouseberry, grouser, grout, grouted, grouted rock, grouthead, grouting, groutnol, grouty

Computing Dictionary
 
 Definition: 

A group G is a non-empty set upon which a binary operator * is defined with the following properties for all a,b,c in G:

  Closure:     G is closed under *,  a*b in G
  Associative: * is associative on G, (a*b)*c = a*(b*c)
  Identity:    There is an identity element  e  such that
               a*e = e*a = a.
  Inverse:     Every element has a unique inverse a' such that
               a * a' = a' * a = e.  The inverse is usually
               written with a superscript -1.

 
Thesaurus Terms
 
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