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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
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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. http://geodesic.mathdoc.fr/articles/10.4064/cm89-2-7/

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