On uniform dimensions of finite groups (Q2759165)
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scientific article; zbMATH DE number 1680998
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniform dimensions of finite groups |
scientific article; zbMATH DE number 1680998 |
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On uniform dimensions of finite groups (English)
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11 December 2001
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subgroup lattices
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strongly balanced lattices
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uniform dimensions
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globally permutable lattices
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Let \(G\) be a finite group and \(L(G)\) the lattice of all subgroups of \(G\). If \(L(G)\) is strongly balanced (globally permutable in [\textit{C. Bagiński} and \textit{A. Sakowicz}, Colloq. Math. 82, No. 1, 65-77 (1999; Zbl 0948.20011)]), then the authors show how to calculate the uniform dimension and the strongly uniform dimension of \(L(G)\), which are defined in this paper.
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