Article
| Title: | Finite groups with many normalizers (English) |
| Author: | Tărnăuceanu, Marius |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 3 |
| Year: | 2025 |
| Pages: | 767-772 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | A group $G$ is said to have dense normalizers if every nonempty open interval in its subgroup lattice $L(G)$ contains the normalizer of a certain subgroup of $G$. We find all finite groups satisfying this property. We also classify the finite groups, in which $k$ subgroups are not normalizers for $k=1,2,3,4$. (English) |
| Keyword: | normalizer |
| Keyword: | density |
| Keyword: | finite group |
| MSC: | 20D30 |
| MSC: | 20D60 |
| MSC: | 20E99 |
| DOI: | 10.21136/CMJ.2025.0325-24 |
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| Date available: | 2025-09-19T11:45:10Z |
| Last updated: | 2025-09-22 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153049 |
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