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Volume 28 Number 1 2005 |
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On Differential Rational Invariants of Finite Subgroups
of Affine Group Bekbaev Ural
Abstract.
In the case of differential field an algebraic analogue of the field of all
invariant differential rational functions of surfaces relative to gauge
transformations and different subgroups of affine motion group is
introduced. In the case of finite subgroup of affine group it is proved
that its field of invariant rational functions generates the above field of
invariant differential rational functions as a some differential field.
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