Lattice universality of locally finite 2-groups

DOI10.1007/S00012-020-00672-8zbMath1484.06025OpenAlexW3044264339MaRDI QIDQ783292

Vladimir B. Repnitskiǐ

Publication date: 12 August 2020

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-020-00672-8

zbMATH Keywords

subgroup latticealgebraic latticelocally nilpotent groupgroup valuationlattice-universal class of algebraslocally finite 2-group

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Complete lattices, completions (06B23) Chains and lattices of subgroups, subnormal subgroups (20E15) Representation theory of lattices (06B15)

Related Items (1)

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

Cites Work

• On representation of lattices by lattices of semigroups
• Intervals in subgroup lattices of countable locally finite groups
• Every finite lattice can be embedded in a finite partition lattice
• On the representation of lattices by subgroup lattices
• On lattice-universal varieties of algebras
• Subgroup lattices of groups
• Lattices, equivalence relations, and subgroups
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