LATTICE UNIVERSALITY OF LOCALLY FINITE \(p\)-GROUPS

LATTICE UNIVERSALITY OF LOCALLY FINITE \(p\)-GROUPS

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.

Saved in:
Bibliographic Details
Main Author: Vladimir B. Repnitskiǐ
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2023-07-01
Series:Ural Mathematical Journal
Subjects:
subgroup lattice, algebraic lattice, complete sublattice, lattice-universal class of algebras, locally finite \(p\)-group, group valuation.
Online Access:https://umjuran.ru/index.php/umj/article/view/614
Tags: Add Tag
No Tags, Be the first to tag this record!

Internet

https://umjuran.ru/index.php/umj/article/view/614

Similar Items