On the lattice of closed subgroups of a profinite group

DOI10.1142/S0218196724500206zbMATH Open1543.20033MaRDI QIDQ6573214

Francesco de Giovanni, Iker de las Heras, M. Trombetti

Publication date: 16 July 2024

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

distributive latticemodular latticeprofinite groupwidth of a latticeclosed subgroup latticedecomposable lattice

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Limits, profinite groups (20E18)

Cites Work

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• Embedding properties of hereditarily just infinite profinite wreath products
• The Dilworth number of subgroup lattices
• Finite index subgroups in profinite groups.
• Nachweis der Existenz nicht isomorpher Gruppen von gleicher Situation der Untergruppen.
• Large characteristic subgroups with modular subgroup lattice
• Subgroup lattices of groups
• Profinite groups with restricted centralizers of \(\pi\)-elements
• On profinite groups with automorphisms whose fixed points have countable Engel sinks
• On two sublattices of the subgroup lattice of a finite group
• Structures and group theory. II
• The exponents of central factor and commutator groups
• Groups whose Chermak–Delgado lattice is a subgroup lattice of an abelian group
• The pro-norm of a profinite group
• Profinite groups with few conjugacy classes of elements of infinite order

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Join-distributive elements in the lattice of closed subgroups of a profinite group

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