Groups of infinite rank with a locally finite term in the lower central series.

DOI10.1007/s13366-014-0207-5zbMath1331.20042OpenAlexW1977181235MaRDI QIDQ747592

Francesco de Giovanni, Marco Trombetti

Publication date: 16 October 2015

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-014-0207-5

zbMATH Keywords

subgroups of finite indexgroups of infinite Prüfer rank(locally finite)-by-(locally nilpotent) groupsstrongly locally graded groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Related Items (6)

A local study of group classes ⋮ A note on groups whose proper subgroups are quasihamiltonian-by-finite ⋮ Large norms in group theory ⋮ Groups with all subgroups permutable or soluble of finite rank ⋮ Unnamed Item ⋮ Groups whose proper subgroups of infinite rank are finite-by-hypercentral or hypercentral-by-finite

Cites Work

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• On minimal conditions related to Miller-Moreno type groups
• Groups with all proper subgroups (finite rank)-by-nilpotent
• Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank
• Theorem on groups of finite special rank
• Locally (soluble-by-finite) groups of finite rank
• A group with trivial centre satisfying the normalizer condition
• Groups Whose Proper Subgroups of Infinite Rank Have Polycyclic Conjugacy Classes
• GROUPS WHOSE PROPER SUBGROUPS OF INFINITE RANK HAVE FINITE CONJUGACY CLASSES

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