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English Dictionary: group' by the DICT Development Group
3 results for group'
From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Group \Group\, v. t. [imp. & p. p. {Grouped}; p. pr. & vb. n.
      {Grouping}.] [Cf. F. grouper. See {Group}, n.]
      To form a group of; to arrange or combine in a group or in
      groups, often with reference to mutual relation and the best
      effect; to form an assemblage of.
  
               The difficulty lies in drawing and disposing, or, as
               the painters term it, in grouping such a multitude of
               different objects.                                 --Prior.
  
      {Grouped columns} (Arch.), three or more columns placed upon
            the same pedestal.

From Webster's Revised Unabridged Dictionary (1913) [web1913]:
   Group \Group\, n. [F groupe, It. gruppo, groppo, cluster, bunch,
      packet, group; of G. origin: cf. G. krepf craw, crop, tumor,
      bunch. See {Crop}, n.]
      1. A cluster, crowd, or throng; an assemblage, either of
            persons or things, collected without any regular form or
            arrangement; as, a group of men or of trees; a group of
            isles.
  
      2. An assemblage of objects in a certain order or relation,
            or having some resemblance or common characteristic; as,
            groups of strata.
  
      3. (Biol.) A variously limited assemblage of animals or
            plants, having some resemblance, or common characteristics
            in form or structure. The term has different uses, and may
            be made to include certain species of a genus, or a whole
            genus, or certain genera, or even several orders.
  
      4. (Mus.) 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.

From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
   group
  
      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.
  
      (1998-10-03)
  
  
No guarantee of accuracy or completeness!
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