Some new efficient soluble groups

DOI10.1080/00927879008824048zbMath0707.20017OpenAlexW2064505892MaRDI QIDQ3488329

P. E. Kenne

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824048

zbMATH Keywords

finite groupsnumber of generatorsSchur multiplicatorCAYLEYsolubility lengthdeficiency zero presentationsnumber of defining relationsefficient presentation

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Generators, relations, and presentations of groups (20F05)

Related Items (3)

Maximal unramified 3-extensions of imaginary quadratic fields and \(\text{SL}_2(\mathbb Z_3)\) ⋮ Embeddings into efficient groups ⋮ The efficiency of standard wreath product

Cites Work

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• On \((2,n)\)-groups related to Fibonacci groups
• Minimal resolutions for finite groups
• Presentations for the simple groups g, l0⁵≪ |g| < 10⁶
• Presentations for some direct products of groups
• Efficient presentations for three simple groups
• A Comment on Finite Nilpotent Groups of Deficiency Zero
• On 2-generator 2-relation soluble groups
• The efficiency of simple groups of order < 10⁵
• Finite three-generator groups with zero deficiency
• A Deficiency Zero Presentation for SL (2, p )

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