Bounding the number of generators of a polycyclic group

DOI10.1007/BF01234320zbMath0447.20030OpenAlexW2049215800MaRDI QIDQ1146260

D. Warhurst, Peter A. Linnell

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234320

zbMATH Keywords

finitely generated grouppolycyclic-by-finite groupsubgroup of finite indexlattices over orders

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Integral representations of infinite groups (20C12)

Related Items (10)

Group identities on units of rings ⋮ Unnamed Item ⋮ On the Prüfer rank of mutually permutable products of abelian groups ⋮ On some polycyclic groups with small Hirsch length ⋮ Group algebras whose units satisfy a group identity ⋮ Semigroup identities on units of group algebras ⋮ Deficiency and commensurators ⋮ Noncancellation and the number of generators ⋮ On some polycyclic groups with small Hirsch length II ⋮ Number of generators of crystallographic groups

Cites Work

• The vanishing of certain homology and cohomology groups
• K-theory of finite groups and orders. Notes by E. Graham Evans
• Cohomological topics in group theory.
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