Geodesic
Generators of the circular identities group
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 121-129 
R. Zh. Aleev; V. S. Taksheeva. Generators of the circular identities group. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 121-129. http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a16/
@article{VCHGU_2008_10_a16,
     author = {R. Zh. Aleev and V. S. Taksheeva},
     title = {Generators of the circular identities group},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {121--129},
     year = {2008},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a16/}
}
TY  - JOUR
AU  - R. Zh. Aleev
AU  - V. S. Taksheeva
TI  - Generators of the circular identities group
JO  - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
PY  - 2008
SP  - 121
EP  - 129
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a16/
LA  - ru
ID  - VCHGU_2008_10_a16
ER  - 
%0 Journal Article
%A R. Zh. Aleev
%A V. S. Taksheeva
%T Generators of the circular identities group
%J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
%D 2008
%P 121-129
%N 10
%U http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a16/
%G ru
%F VCHGU_2008_10_a16

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper generators, in particular, minimal generators, of the circular identities group are described. Besides, invertible entire algebraic elements are studied.

[1] R. Zh. Aleev , “Edinitsy polei kharakterov i tsentralnye edinitsy tselochislennykh gruppovykh kolets konechnykh grupp”, Mat. trudy, 3:1 (2000), 3–37 | MR

[2] W. Sinnott, “On the Stickelberger ideal and circular units of a cyclotomic field”, Ann. of Math., 108:1 (1978), 107–134 | DOI | MR

[3] F. van der Linden, “Class number computations of real abelian number fields”, Math. Comp., 39 (1982), 693–707 | DOI | MR

[4] R. Zh. Aleev, Tsentralnye edinitsy tselochislennykh gruppovykh kolets konechnykh grupp, dis. ... d-ra fiz.-mat. nauk : 01.01.06, Chelyabinsk, 2000

[5] V. Ennola, “On relations between cyclotomic units”, J. Numb. Theory, 4:3 (1972), 236–272 | DOI | MR