Geodesic
Normal forms relative to the action of a~group on a~space
Izvestiya. Mathematics , Tome 11 (1977) no. 5, pp. 1001-1010

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The author proposes a normal form relative to the action of a group on a space in the presence of a filtration. Considered as examples are the actions of various groups of transformations of coordinates on the space of formal series. Bibliography: 8 titles. 
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     author = {G. R. Belitskii},
     title = {Normal forms relative to the action of a~group on a~space},
     journal = {Izvestiya. Mathematics },
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G. R. Belitskii. Normal forms relative to the action of a~group on a~space. Izvestiya. Mathematics , Tome 11 (1977) no. 5, pp. 1001-1010. http://geodesic.mathdoc.fr/item/IM2_1977_11_5_a4/