ISSN: 2310-757X
Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/127430| Title: | LATTICE UNIVERSALITY OF LOCALLY FINITE P-GROUPS |
| Authors: | Repnitskiǐ, Vladimir B. |
| Issue Date: | 2023 |
| Citation: | Repnitskiǐ Vladimir B. LATTICE UNIVERSALITY OF LOCALLY FINITE P-GROUPS / Vladimir B. Repnitskiǐ. — Text : electronic // Ural Mathematical Journal. — 2023. — Volume 9. — № 1. — P. 127-134. |
| Abstract: | For an arbitrary prime p, we prove that every algebraic lattice is isomorphic to a complete sublattice in the subgroup lattice of a suitable locally finite p-group. In particular, every lattice is embeddable in the subgroup lattice of a locally finite p-group. |
| Keywords: | SUBGROUP LATTICE ALGEBRAIC LATTICE COMPLETE SUBLATTICE LATTICE-UNIVERSAL CLASS OF ALGEBRAS LOCALLY FINITE P-GROUP GROUP VALUATION |
| URI: | http://elar.urfu.ru/handle/10995/127430 |
| Access: | Creative Commons Attribution License |
| License text: | https://creativecommons.org/licenses/by/4.0/ |
| RSCI ID: | 54265311 |
| ISSN: | 2414-3952 |
| DOI: | 10.15826/umj.2023.1.011 |
| Origin: | Ural Mathematical Journal. 2023. Volume 9. № 1 |
| Appears in Collections: | Ural Mathematical Journal |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| umj_2023_9_1_012.pdf | 135,58 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License
