The presentation rank of a direct product of finite groups

DOI10.1016/0021-8693(74)90062-3zbMath0293.20033OpenAlexW1963847323MaRDI QIDQ1212100

L. G. Kovács, K. W. Gruenberg, John Cossey

Publication date: 1974

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90062-3

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Abstract finite groups (20D99)

Related Items (21)

On the generation gap of a finite group ⋮ Minimal Euler characteristics for even-dimensional manifolds with finite fundamental group ⋮ Boundedly generated subgroups of finite groups ⋮ Generating wreath products and their augmentation ideals ⋮ The partial Euler characteristics of the direct powers of a finite group ⋮ On boundedly generated subgroups of profinite groups. ⋮ Strongly generating elements in finite and profinite groups ⋮ Semiregularity and connectivity of the non-𝔉 graph of a finite group ⋮ Relation modules of polycyclic-by-finite groups ⋮ Relation modules and augmentation ideals of finite groups ⋮ Generation gaps and abelianized defects of free products ⋮ Probabilistic finiteness properties for profinite groups ⋮ The generation of the augmentation ideal in profinite groups. ⋮ On the number of generators and composition length of finite linear groups ⋮ Trace ideals of relation modules of finite groups ⋮ Projective modules for \(SL(2,2^n)\) ⋮ Proficient presentations and direct products of finite groups ⋮ Characterization of finitely generated infinitely iterated wreath products ⋮ Coprime invariable generation and minimal-exponent groups. ⋮ On minimal relation modules and 1-cohomology of finite groups ⋮ Some questions on the number of generators of a finite group

Cites Work

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• Die Eulersche Funktion endlicher auflösbarer Gruppen
• Induced representations and projective modules
• Minimal resolutions for finite groups
• Cohomological topics in group theory.
• Über die Relationenmoduln einer endlichen Gruppe
• Growth sequences of finite groups
• THE EULERIAN FUNCTIONS OF A GROUP

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