Geodesic
Subgroups like Wielandt's in solublegroups
Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 67-74

Voir la notice de l'article provenant de la source Cambridge University Press

For eachm≥1, u_{m}(G) is defined to be theintersection of the normalizers of all the subnormal subgroups of defect at mostm in G. An ascending chain of subgroupsu_{m,i}(G) is defined by settingu_{m,i}(G)/u_{m,i−1}(G)=u_{m}(G/u_{m,i−1}(G)). Ifu_{m,n}(G)=G, for some integer n, them-Wielandt length of G is theminimal of such n.In [3], Bryce examined thestructure of a finite soluble group with given m-Wielandtlength, in terms of its polynilpotent structure. In this paper we extend hisresults to infinite soluble groups.1991 Mathematics SubjectClassification. 20E15, 20F22. 
Franchi, Clara. Subgroups like Wielandt's in solublegroups. Glasgow mathematical journal, Tome 42 (2000) no. 1, pp. 67-74. doi: 10.1017/S0017089500010090
@article{10_1017_S0017089500010090,
     author = {Franchi, Clara},
     title = {Subgroups like {Wielandt's} in solublegroups},
     journal = {Glasgow mathematical journal},
     pages = {67--74},
     year = {2000},
     volume = {42},
     number = {1},
     doi = {10.1017/S0017089500010090},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500010090/}
}
TY  - JOUR
AU  - Franchi, Clara
TI  - Subgroups like Wielandt's in solublegroups
JO  - Glasgow mathematical journal
PY  - 2000
SP  - 67
EP  - 74
VL  - 42
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500010090/
DO  - 10.1017/S0017089500010090
ID  - 10_1017_S0017089500010090
ER  - 
%0 Journal Article
%A Franchi, Clara
%T Subgroups like Wielandt's in solublegroups
%J Glasgow mathematical journal
%D 2000
%P 67-74
%V 42
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500010090/
%R 10.1017/S0017089500010090
%F 10_1017_S0017089500010090

Cité par Sources :