Geodesic
On uniform dimensions of finite groups
J. Krempa1 ; A. Sakowicz2
1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
2 Institute of Mathematics University of Bia/lystok Akademicka 2 15-267 Bia/lystok, Poland
Colloquium Mathematicum, Tome 89 (2001) no. 2, pp. 223-231 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

Let $G$ be any finite group and $L(G)$ the lattice of all subgroups of $G$. If $L(G)$ is strongly balanced (globally permutable) then we observe that the uniform dimension and the strong uniform dimension of $L(G)$ are well defined, and we show how to calculate these dimensions.
DOI : 10.4064/cm89-2-7
Keywords: finite group lattice subgroups strongly balanced globally permutable observe uniform dimension strong uniform dimension defined calculate these dimensions

J. Krempa 1 ; A. Sakowicz 2

1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
2 Institute of Mathematics University of Bia/lystok Akademicka 2 15-267 Bia/lystok, Poland 
@article{10_4064_cm89_2_7,
     author = {J. Krempa and A. Sakowicz},
     title = {On uniform dimensions of finite groups},
     journal = {Colloquium Mathematicum},
     pages = {223--231},
     year = {2001},
     volume = {89},
     number = {2},
     doi = {10.4064/cm89-2-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm89-2-7/}
}
TY  - JOUR
AU  - J. Krempa
AU  - A. Sakowicz
TI  - On uniform dimensions of finite groups
JO  - Colloquium Mathematicum
PY  - 2001
SP  - 223
EP  - 231
VL  - 89
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm89-2-7/
DO  - 10.4064/cm89-2-7
LA  - en
ID  - 10_4064_cm89_2_7
ER  - 
%0 Journal Article
%A J. Krempa
%A A. Sakowicz
%T On uniform dimensions of finite groups
%J Colloquium Mathematicum
%D 2001
%P 223-231
%V 89
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm89-2-7/
%R 10.4064/cm89-2-7
%G en
%F 10_4064_cm89_2_7
J. Krempa; A. Sakowicz. On uniform dimensions of finite groups. Colloquium Mathematicum, Tome 89 (2001) no. 2, pp. 223-231. doi: 10.4064/cm89-2-7

Cité par Sources :