Geodesic
Primary $IF$-groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2011), pp. 25-31

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

In this work, we study primary groups containing proper fully invariant subgroups isomorphic to the group, the so-called $IF$-groups. We define the admissible sequence of Ulm–Kaplansky invariants for primary groups. Using these sequences, $IF$-groups are described in some important classes of $p$-groups.
Mots-clés : $IF$-group, torsion complete group
Keywords: fully invariant subgroup, Ulm–Kaplansky invariants, admissible sequence. 
@article{VTGU_2011_3_a3,
     author = {S. Ya. Grinshpon and M. M. Nikolskaya},
     title = {Primary $IF$-groups},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {25--31},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2011_3_a3/}
}
TY  - JOUR
AU  - S. Ya. Grinshpon
AU  - M. M. Nikolskaya
TI  - Primary $IF$-groups
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2011
SP  - 25
EP  - 31
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTGU_2011_3_a3/
LA  - ru
ID  - VTGU_2011_3_a3
ER  - 
%0 Journal Article
%A S. Ya. Grinshpon
%A M. M. Nikolskaya
%T Primary $IF$-groups
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2011
%P 25-31
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTGU_2011_3_a3/
%G ru
%F VTGU_2011_3_a3
S. Ya. Grinshpon; M. M. Nikolskaya. Primary $IF$-groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2011), pp. 25-31. http://geodesic.mathdoc.fr/item/VTGU_2011_3_a3/