Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ADM_2020_29_1_a6,
author = {L. A. Kurdachenko and I. Ya. Subbotin and T. V. Velychko},
title = {On the non-periodic groups, whose subgroups of~infinite special rank are transitively normal},
journal = {Algebra and discrete mathematics},
pages = {74--84},
publisher = {mathdoc},
volume = {29},
number = {1},
year = {2020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2020_29_1_a6/}
}
TY - JOUR AU - L. A. Kurdachenko AU - I. Ya. Subbotin AU - T. V. Velychko TI - On the non-periodic groups, whose subgroups of~infinite special rank are transitively normal JO - Algebra and discrete mathematics PY - 2020 SP - 74 EP - 84 VL - 29 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2020_29_1_a6/ LA - en ID - ADM_2020_29_1_a6 ER -
%0 Journal Article %A L. A. Kurdachenko %A I. Ya. Subbotin %A T. V. Velychko %T On the non-periodic groups, whose subgroups of~infinite special rank are transitively normal %J Algebra and discrete mathematics %D 2020 %P 74-84 %V 29 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ADM_2020_29_1_a6/ %G en %F ADM_2020_29_1_a6
L. A. Kurdachenko; I. Ya. Subbotin; T. V. Velychko. On the non-periodic groups, whose subgroups of~infinite special rank are transitively normal. Algebra and discrete mathematics, Tome 29 (2020) no. 1, pp. 74-84. http://geodesic.mathdoc.fr/item/ADM_2020_29_1_a6/
[1] Kurdachenko L. A., Subbotin I. Ya., “Transitivity of normality and pronormal subgroups”, Combinatorial group Theory, discrete groups, and number theory, Contemporary Mathematics, 421, 2006, 201–212 | DOI | MR | Zbl
[2] Maltsev A. I., “On groups of finite rank”, Mat. Sb., 22 (1948), 351–352 | MR | Zbl
[3] Dixon M. R., Kurdachenko L. A., Subbotin I. Ya., “On various rank conditions in infinite groups”, Algebra Discrete Math., 4 (2007), 23–44 | MR
[4] Dixon M. R., “Certain rank conditions on groups”, Noti di Matematica, 2 (2008), 151–175 | MR
[5] Dixon M. R.,Kurdachenko L. A., Pypka A. A., Subbotin I. Ya., “Groups satisfying certain rank conditions”, Algebra Discrete Math., 4 (2016), 23–44 | MR
[6] Dixon M. R., Kurdachenko L. A., Subbotin I. Ya., Rank of groups: the tools, characteristic and restrictions, Wiley, 2017 | MR
[7] Dixon M. R., Evans M. J., Smith H., “Locally (soluble-by-finite) groups with all proper insoluble subgroups of finite rank”, Arch. Math., 68 (1997), 100–109 | DOI | MR | Zbl
[8] Semko N. N., Velychko T. V., “On the groups whose subgroups of infinite special rank are transitively normal”, Algebra and discrete Math., 1 (2017), 34–45 | MR | Zbl
[9] Ba M. S., Borevich Z. I., “On arrangement of intermediate subgroups”, Rings and Linear Groups, Kubanskij Univ., Krasnodar, 1988, 14–41 | MR
[10] Muller K. H., “Schwachnormale Untergruppen: Eine gemeinsame Verallgemeinerung der normalen und normalisatorgleichen Untergruppen.”, Rend. Semin. Mat. Univ. Padova, 36 (1966), 129–157 | MR | Zbl
[11] Robinson D. J. S., “A note on finite groups in which normality is transitive”, Proc. Amer. Math. Soc., 4 (1968), 933–937 | DOI | MR
[12] Robinson D. J. S., “Groups in which normality is a transitive relation”, Proc. Cambridge Phil. Soc., 60 (1964), 21–38 | DOI | MR | Zbl
[13] Baer R., “Situation der Untergruppen und Struktur der Gruppe”, S.-B. Heidelberg Akad., 2, 1933, 12–17
[14] Glushkov V. M., “On some problems of theory of torsion - free nilpotent and locally nilpotent groups”, Mat. Sb., 1 (1952), 79–104 | MR
[15] Fuchs L., Infinite abelian groups, Academic Press, New York, 1970 | MR | Zbl
[16] Plotkin B. I., “Radical groups.”, Mat. Sb., 3 (1966), 507–526 | MR