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Two theorems on polycyclic groups

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Publication:1251287
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DOI10.1007/BF01174824zbMath0391.20026MaRDI QIDQ1251287

Daniel Segal

Publication date: 1978

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172778

zbMATH Keywords

Normal Subgroup of Finite IndexPolycyclic GroupsSoluble Subgroup


Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Automorphisms of infinite groups (20E36) Extensions, wreath products, and other compositions of groups (20E22) Linear algebraic groups over local fields and their integers (20G25)


Related Items

Nilpotent-by-finite groups with the same finite images, Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure, A note on finitely generated nilpotent groups, Finiteness theorems for polycyclic groups



Cites Work

  • Unnamed Item
  • Cohomologie d'immeubles et de groupes S-arithmétiques
  • On the holomorphs of soluble groups of finite rank
  • Some finiteness properties of adele groups over number fields
  • Nilpotent-By-Finite Groups With Isomorphic Finite Quotients
  • Density and maximality of arithmetic subgroups.
  • Finitely Generated Nilpotent Groups with Isomorphic Finite Quotients
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