Geodesic
Completely torsion-free, finite-rank, almost decomposable groups with torsion factor
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 61-67
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This paper deals with almost completely decomposable finite rank groups $G$ that have rank $1$ summands of pairwise noncomparable types. It is well known that every such group has unique complete quasi-decomposition $A$ with respect to equality. We consider the number of almost completely decomposable groups $G$ with a given quasi\df decomposition $A$ for which $G/A$ is isomorphic to $\mathbb{Z}(p^m)$. 
@article{FPM_2007_13_3_a8,
     author = {S. F. Kozhukhov and A. C. Tveretin},
     title = {Completely torsion-free, finite-rank, almost decomposable groups with torsion factor},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {61--67},
     year = {2007},
     volume = {13},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a8/}
}
TY  - JOUR
AU  - S. F. Kozhukhov
AU  - A. C. Tveretin
TI  - Completely torsion-free, finite-rank, almost decomposable groups with torsion factor
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2007
SP  - 61
EP  - 67
VL  - 13
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a8/
LA  - ru
ID  - FPM_2007_13_3_a8
ER  - 
%0 Journal Article
%A S. F. Kozhukhov
%A A. C. Tveretin
%T Completely torsion-free, finite-rank, almost decomposable groups with torsion factor
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2007
%P 61-67
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a8/
%G ru
%F FPM_2007_13_3_a8
S. F. Kozhukhov; A. C. Tveretin. Completely torsion-free, finite-rank, almost decomposable groups with torsion factor. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 61-67. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a8/

[1] Kozhukhov S. F., “Konechnye gruppy avtomorfizmov abelevykh grupp bez krucheniya konechnogo ranga”, Izv. AN SSSR, 52:3 (1988), 501–521 | Zbl

[2] Fuks L., Beskonechnye abelevy gruppy, T. 1, Mir, M., 1974

[3] Fuks L., Beskonechnye abelevy gruppy, T. 2, Mir, M., 1977