General affine group:GA(1,Q)
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This group, denoted or , is defined in the following equivalent ways:
- It is the general affine group of degree one over the field of rational numbers . Explicitly, it is the group of transformations of the form , where , with multiplication defined by composition.
- It is the holomorph of the (additive) group of rational numbers.
- It is the external semidirect product where the latter acts on the former by multiplication.
|finitely generated group||No|