Join-distributive elements in the lattice of closed subgroups of a profinite group (Q6569347)
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scientific article; zbMATH DE number 7878443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Join-distributive elements in the lattice of closed subgroups of a profinite group |
scientific article; zbMATH DE number 7878443 |
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Join-distributive elements in the lattice of closed subgroups of a profinite group (English)
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9 July 2024
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Let \(G\) be a profinite group and let \(\mathcal{L}_{c}(G)\) (\(\mathcal{L}_{o}(G)\)) be the lattice of all closed (open) subgroups of \(G\).\N\NThe main results of the paper under review provide characterizations of join-distributive elements (Theorem 12) and neutral elements (Theorems 15 and 17, and Corollary 18) of \(\mathcal{L}_{c}(G)\) and \(\mathcal{L}_{o}(G)\).
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profinite group
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closed subgroup lattice
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join-distributive element
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neutral element
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standard element
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