Metric properties of embeddings of the set of integers into the cylider
Matematičeskie voprosy kriptografii, Tome 3 (2012) no. 3, pp. 57-79 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider questions connected with the uniform discrete embeddings of finitely generated Abelian groups into the Riemann spaces. A comprehensive classification of the homomorphic embeddings of the set of integers into the two-dimensional cylinder is given.
@article{MVK_2012_3_3_a3,
     author = {F. M. Malyshev},
     title = {Metric properties of embeddings of the set of integers into the cylider},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {57--79},
     year = {2012},
     volume = {3},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2012_3_3_a3/}
}
TY  - JOUR
AU  - F. M. Malyshev
TI  - Metric properties of embeddings of the set of integers into the cylider
JO  - Matematičeskie voprosy kriptografii
PY  - 2012
SP  - 57
EP  - 79
VL  - 3
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MVK_2012_3_3_a3/
LA  - ru
ID  - MVK_2012_3_3_a3
ER  - 
%0 Journal Article
%A F. M. Malyshev
%T Metric properties of embeddings of the set of integers into the cylider
%J Matematičeskie voprosy kriptografii
%D 2012
%P 57-79
%V 3
%N 3
%U http://geodesic.mathdoc.fr/item/MVK_2012_3_3_a3/
%G ru
%F MVK_2012_3_3_a3
F. M. Malyshev. Metric properties of embeddings of the set of integers into the cylider. Matematičeskie voprosy kriptografii, Tome 3 (2012) no. 3, pp. 57-79. http://geodesic.mathdoc.fr/item/MVK_2012_3_3_a3/

[1] Malyshev F. M., “Porozhdayuschie nabory elementov rekurrentnykh posledovatelnostei”, Trudy po diskretnoi matematike, 11, no. 2, Fizmatlit, M., 2008, 86–111

[2] Malyshev F. M., “Bazisy mnozhestva tselykh chisel otnositelno mnogomestnykh operatsii sdviga”, Matematicheskie voprosy kriptografii, 2:1 (2011), 29–73

[3] Ryshkov S. S., Baranovskii E. P., “Klassicheskie metody teorii reshëtchatykh upakovok”, Uspekhi matematicheskikh nauk, 34:4(208) (1979), 3–63 | MR | Zbl

[4] Khelgason S., Differentsialnaya geometriya i simmetricheskie prostranstva, Mir, M., 1965

[5] Kassels Dzh., Vedenie v geometriyu chisel, Mir, M., 1965 | MR

[6] Vinberg E. B., Shvartsman O. V., “Diskretnye gruppy dvizhenii prostranstv postoyannoi krivizny”, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 29, VINITI, M., 1988, 147–259 | MR | Zbl

[7] Nikulin V. V., Shafarevich I. R., Geometrii i gruppy, Nauka, M., 1973 | MR

[8] Delone B. N., Sandakova N. N., “Teoriya steroedrov”, Trudy MIAN SSSR im. V. A. Steklova, 64, 1961, 28–51 | MR | Zbl

[9] Tsishang Kh., Fogt E., Koldevai Kh.-D., Poverkhnosti i razryvnye gruppy, Nauka, M., 1988 | MR

[10] Postnikov M. M., Analiticheskaya geometriya, Nauka, M., 1973 | MR | Zbl

[11] Gashkov S. B., Chubarikov V. N., Arifmetika. Algoritmy. Slozhnost vychislenii. Populyarnoe vvedenie v teoriyu chisel i arifmeticheskuyu teoriyu slozhnosti, Nauka, M., 1996 | Zbl

[12] Postnikov M. M., Lektsii po geometrii: semestr I. Analiticheskaya geometriya, Nauka, M., 1979 | MR