transformation group

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transformation group [‚tranz·fər′mā·shən ‚grüp]

(mathematics)

A collection of transformations which forms a group with composition as the operation.

A dynamical system or, more generally, a topological groupGtogether with a topological spaceXwhere eachginGgives rise to a homeomorphism ofXin a continuous manner with respect to the algebraic structure ofG.

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