Geodesic
Transitivity of action on modular vectors
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 765-773 Cet article a éte moissonné depuis la source Math-Net.Ru

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Series of groups with the following property are constructed: the group of invertible matrices over integral group ring of the group does not act transitively on the set of vectors whose coordinates generate the augmentation ideal of the group ring. 
@article{FPM_1999_5_3_a7,
     author = {V. A. Artamonov},
     title = {Transitivity of action on modular vectors},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {765--773},
     year = {1999},
     volume = {5},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a7/}
}
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V. A. Artamonov. Transitivity of action on modular vectors. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 765-773. http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a7/