Geodesic
Groups Satisfying Weak Chain Conditions on Certain Non-Normal Subgroups
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 853-866.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper, (generalized) soluble groups for which the set of all subgroups having infinite index in their normal closure satisfies some weak chain condition are described.
In questo articolo si considerano gruppi risolubili (generalizzati) che verificano una condizione di catena debole sui sottogruppi che non hanno indice finito nella loro chiusura normale. 
@article{BUMI_2007_8_10B_3_a27,
     author = {De Mari, Fausto},
     title = {Groups {Satisfying} {Weak} {Chain} {Conditions} on {Certain} {Non-Normal} {Subgroups}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {853--866},
     publisher = {mathdoc},
     volume = {Ser. 8, 10B},
     number = {3},
     year = {2007},
     zbl = {1184.20027},
     mrnumber = {2507901},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a27/}
}
TY  - JOUR
AU  - De Mari, Fausto
TI  - Groups Satisfying Weak Chain Conditions on Certain Non-Normal Subgroups
JO  - Bollettino della Unione matematica italiana
PY  - 2007
SP  - 853
EP  - 866
VL  - 10B
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a27/
LA  - en
ID  - BUMI_2007_8_10B_3_a27
ER  - 
%0 Journal Article
%A De Mari, Fausto
%T Groups Satisfying Weak Chain Conditions on Certain Non-Normal Subgroups
%J Bollettino della Unione matematica italiana
%D 2007
%P 853-866
%V 10B
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a27/
%G en
%F BUMI_2007_8_10B_3_a27
De Mari, Fausto. Groups Satisfying Weak Chain Conditions on Certain Non-Normal Subgroups. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 853-866. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a27/

[1] B. Amberg, Fast-Polyminimaxgruppen, Math. Ann., 175 (1968), 44-49. | fulltext EuDML | DOI | MR

[2] R. Baer, Polyminimaxgruppen, Math. Ann., 175 (1968), 1-43. | fulltext EuDML | DOI | MR

[3] V. S. Carin, On soluble groups of type $A_3$, Mat. Sb., 54 (1961), 489-499. | MR

[4] G. Cutolo - L. A. Kurdachenko, Weak chain conditions for non-almost normal subgroups, Proceedings of Groups St. Andrews in Galway, Cambridge University Press (1993), 120-130. | DOI | MR | Zbl

[5] F. De Mari - F. De Giovanni, Double chain conditions for infinite groups, Ricerche Mat., 54 (2005), 59-70. | MR | Zbl

[6] S. Franciosi - F. De Giovanni, Groups satisfying the minimal condition on certain non-normal subgroups, Proceedings of Groups Korea 1994, de Gruyter (1995), 107-118. | MR | Zbl

[7] A. Galoppo, Groups satisfying the maximal condition on non-nearly normal subgroups, Ricerche Mat., 49 (2000), 213-220. | MR | Zbl

[8] B. H. Neumann, Groups with finite classes of conjugate subgroups, Math Z., 63 (1955), 76-96. | fulltext EuDML | DOI | MR | Zbl

[9] D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Springer, Berlin (1972). | MR | Zbl

[10] T. S. Shores, A chain condition for groups, Rocky Mountain J. Math., 3 (1973), 83-89. | DOI | MR | Zbl

[11] V. P. Šunkov, Locally finite groups with a minimality condition for abelian subgroups, Algebra and Logic, 9 (1970), 350-370. | MR

[12] D. I. Zaičev, Groups satisfying a weak minimum condition, Soviet Math. Dokl., 9 (1968), 194-197.

[13] D. I. Zaičev, On groups which satisfy a weak minimality condition, Math. USSR Sb., 7 (1969), 315-322.

[14] D. I. Zaičev, Theory of minimax groups, Ukrainian Math. J., 23 (1971), 536-542.