Groups with many polycyclic-by-nilpotent subgroups

zbMath0980.20023MaRDI QIDQ1568184

Francesco de Giovanni, Yaroslav P. Sysak, Silvana Franciosi

Publication date: 21 November 2001

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

locally graded groupsminimal conditionhypercentral subgroupspolycyclic-by-nilpotent subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (8)

On minimal non-(torsion-by-nilpotent) and non-((locally finite)-by-nilpotent) groups ⋮ Unnamed Item ⋮ Groups with iterated restrictions on conjugacy classes ⋮ Groups having many 2-generated subgroups in a given class ⋮ Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank). ⋮ Groups with all proper subgroups soluble-by-finite rank. ⋮ Groups with almost modular subgroup lattice ⋮ Soluble minimal non-(finite-by-Baer)-groups.

This page was built for publication: Groups with many polycyclic-by-nilpotent subgroups