1Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland 2Institute of Mathematics University of Bia/lystok Akademicka 2 15-267 Bia/lystok, Poland
Colloquium Mathematicum, Tome 89 (2001) no. 2, pp. 223-231
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.
Keywords:
finite group lattice subgroups strongly balanced globally permutable observe uniform dimension strong uniform dimension defined calculate these dimensions
Affiliations des auteurs :
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
