ISSN: 2310-757X
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http://elar.urfu.ru/handle/10995/130702| Title: | LATTICE UNIVERSALITY OF LOCALLY FINITE p-GROUPS |
| Authors: | Repnitskiǐ, V. B. |
| Issue Date: | 2023 |
| Publisher: | Krasovskii Institute of Mathematics and Mechanics |
| Citation: | Repnitskiǐ, V 2023, 'LATTICE UNIVERSALITY OF LOCALLY FINITE \(p\)-GROUPS', Ural Mathematical Journal, Том. 9, № 1, стр. 127-134. https://doi.org/10.15826/umj.2023.1.011 Repnitskiǐ, V. (2023). LATTICE UNIVERSALITY OF LOCALLY FINITE \(p\)-GROUPS. Ural Mathematical Journal, 9(1), 127-134. https://doi.org/10.15826/umj.2023.1.011 |
| 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. © 2023, Krasovskii Institute of Mathematics and Mechanics. All rights reserved. |
| Keywords: | ALGEBRAIC LATTICE COMPLETE SUBLATTICE GROUP VALUATION LATTICE-UNIVERSAL CLASS OF ALGEBRAS LOCALLY FINITE P-GROUP SUBGROUP LATTICE |
| URI: | http://elar.urfu.ru/handle/10995/130702 |
| Access: | info:eu-repo/semantics/openAccess cc-by |
| License text: | https://creativecommons.org/licenses/by/4.0/ |
| RSCI ID: | 54265311 |
| SCOPUS ID: | 85167339758 |
| PURE ID: | 43276544 |
| ISSN: | 2414-3952 |
| DOI: | 10.15826/umj.2023.1.011 |
| Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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