Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 25-33
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O. I. Davydova. Rank-$1$ quotient divisible groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 25-33. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a3/
@article{FPM_2007_13_3_a3,
author = {O. I. Davydova},
title = {Rank-$1$ quotient divisible groups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {25--33},
year = {2007},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a3/}
}
TY - JOUR
AU - O. I. Davydova
TI - Rank-$1$ quotient divisible groups
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2007
SP - 25
EP - 33
VL - 13
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a3/
LA - ru
ID - FPM_2007_13_3_a3
ER -
%0 Journal Article
%A O. I. Davydova
%T Rank-$1$ quotient divisible groups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2007
%P 25-33
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a3/
%G ru
%F FPM_2007_13_3_a3
An Abelian group is called quotient divisible if it does not contain nonzero torsion divisible subgroups, but does contain a free finite rank subgroup such that the quotient group by it is divisible. In this paper, we will describe rank $1$ quotient divisible groups with the help of cocharacteristics, and we will describe the endomorphisms of these groups as well.
