Geodesic
Infinite groups containing a proper Hughes subgroup $H_3(G)$
Algebra i logika, Tome 60 (2021) no. 3, pp. 298-302

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

We consider groups in which $H_3(G)$ is both nontrivial and proper. In particular, it is proved that in such a group, $|G:H_3(G)|=3$.
Keywords: Hughes subgroup, Engel group, group of exponent $3$. 
@article{AL_2021_60_3_a2,
     author = {Wenbin Guo and D. V. Lytkina and V. D. Mazurov},
     title = {Infinite groups containing a proper {Hughes} subgroup $H_3(G)$},
     journal = {Algebra i logika},
     pages = {298--302},
     publisher = {mathdoc},
     volume = {60},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2021_60_3_a2/}
}
TY  - JOUR
AU  - Wenbin Guo
AU  - D. V. Lytkina
AU  - V. D. Mazurov
TI  - Infinite groups containing a proper Hughes subgroup $H_3(G)$
JO  - Algebra i logika
PY  - 2021
SP  - 298
EP  - 302
VL  - 60
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2021_60_3_a2/
LA  - ru
ID  - AL_2021_60_3_a2
ER  - 
%0 Journal Article
%A Wenbin Guo
%A D. V. Lytkina
%A V. D. Mazurov
%T Infinite groups containing a proper Hughes subgroup $H_3(G)$
%J Algebra i logika
%D 2021
%P 298-302
%V 60
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2021_60_3_a2/
%G ru
%F AL_2021_60_3_a2
Wenbin Guo; D. V. Lytkina; V. D. Mazurov. Infinite groups containing a proper Hughes subgroup $H_3(G)$. Algebra i logika, Tome 60 (2021) no. 3, pp. 298-302. http://geodesic.mathdoc.fr/item/AL_2021_60_3_a2/