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more about group
## group |

4 definitions found 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 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 WordNet r 1.6 [wn]: group adj : for or by a group rather than individuals; "dipping each his bread into a communal dish of stew"- Paul Roche; "a communal settlement in which all earnings and food were shared"; "a group effort" [syn: {communal}, {group(a)}] n 1: any number of entities (members) considered as a unit [syn: {grouping}] 2: two or more atoms bound together as a single unit and forming part of a molecule [syn: {radical}] 3: a set that is closed, associative, has an identity element and every element has an inverse [syn: {mathematical group}] v 1: arrange into a group or groups; "Can you group these shapes together?" 2: form a group or group together [syn: {aggroup}] From The Free On-line Dictionary of Computing (13 Mar 01) [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)

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