Geodesic
Infinite groups satisfying the normalizer condition for nonprimary subgroups
Matematičeskie zametki, Tome 19 (1976) no. 5, pp. 727-734.

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

In this paper we study infinite groups satisfying the normalizer condition for nonprimary subgroups. We show, in particular, that a nonprimary periodic group satisfying this condition is locally finite if the intersection of all its nonprimary subgroups is finite. We establish the local nilpotency of a nonperiodic group satisfying the normalizer condition for nonprimary subgroups. This implies the theorem of S. N. Chernikov which states that a nonperiodic group in which each infinite proper subgroup is different from its normalizer satisfies the normalizer condition. 
@article{MZM_1976_19_5_a7,
     author = {K. Sh. Kemkhadze},
     title = {Infinite groups satisfying the normalizer condition for nonprimary subgroups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {727--734},
     publisher = {mathdoc},
     volume = {19},
     number = {5},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a7/}
}
TY  - JOUR
AU  - K. Sh. Kemkhadze
TI  - Infinite groups satisfying the normalizer condition for nonprimary subgroups
JO  - Matematičeskie zametki
PY  - 1976
SP  - 727
EP  - 734
VL  - 19
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a7/
LA  - ru
ID  - MZM_1976_19_5_a7
ER  - 
%0 Journal Article
%A K. Sh. Kemkhadze
%T Infinite groups satisfying the normalizer condition for nonprimary subgroups
%J Matematičeskie zametki
%D 1976
%P 727-734
%V 19
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a7/
%G ru
%F MZM_1976_19_5_a7
K. Sh. Kemkhadze. Infinite groups satisfying the normalizer condition for nonprimary subgroups. Matematičeskie zametki, Tome 19 (1976) no. 5, pp. 727-734. http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a7/