Groups with finitely many isomorphic classes of relevant subgroups
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 177 (2020), pp. 102-110
Voir la notice de l'article provenant de la source Math-Net.Ru
We study groups possessing the following property: for some relevant families $\mathcal{M}$ of subgroups of $G$, subgroups from $\mathcal{M}$ fall into finitely many isomorphic classes.
Keywords:
radical group, family of subgroups, normal subgroup, Dedekind group
Mots-clés : Chernikov group.
Mots-clés : Chernikov group.
@article{INTO_2020_177_a11,
author = {L. A. Kurdachenko and P. Longobardi and M. Maj},
title = {Groups with finitely many isomorphic classes of relevant subgroups},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {102--110},
publisher = {mathdoc},
volume = {177},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2020_177_a11/}
}
TY - JOUR AU - L. A. Kurdachenko AU - P. Longobardi AU - M. Maj TI - Groups with finitely many isomorphic classes of relevant subgroups JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2020 SP - 102 EP - 110 VL - 177 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2020_177_a11/ LA - ru ID - INTO_2020_177_a11 ER -
%0 Journal Article %A L. A. Kurdachenko %A P. Longobardi %A M. Maj %T Groups with finitely many isomorphic classes of relevant subgroups %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2020 %P 102-110 %V 177 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2020_177_a11/ %G ru %F INTO_2020_177_a11
L. A. Kurdachenko; P. Longobardi; M. Maj. Groups with finitely many isomorphic classes of relevant subgroups. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 177 (2020), pp. 102-110. http://geodesic.mathdoc.fr/item/INTO_2020_177_a11/