The efficiency of standard wreath product

DOI10.1017/S0013091500021003zbMath0952.20021OpenAlexW2141515828MaRDI QIDQ4488189

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Publication date: 9 July 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500021003

zbMATH Keywords

finite groupsefficiencynumbers of generatorsSchur multipliersefficient presentationsstandard wreath products

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Projective representations and multipliers (20C25)

Related Items (8)

Unnamed Item ⋮ Knit products of some groups and their applications. ⋮ The \(p\)-Cockcroft property of central extensions of groups. II. ⋮ Gröbner-Shirshov bases for extended modular, extended Hecke, and Picard groups. ⋮ A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions ⋮ THEp-COCKCROFT PROPERTY OF CENTRAL EXTENSIONS OF GROUPS ⋮ A Higher Version of Zappa Products for Monoids ⋮ Separability and efficiency under standard wreath product in terms of Cayley graphs.

Cites Work

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• Group extensions, representations, and the Schur multiplicator
• Collineation groups of projective planes of order n
• Closing the relation gap by direct product stabilization
• The deficiency of wreath products of groups
• Minimal resolutions for finite groups
• Minimal Presentations for Finite Groups
• Some new efficient soluble groups
• On the Efficiency of Coxeter Groups
• The Deficiency of Metacyclic Groups
• Minimal Relations for Certain Wreath Products of Groups
• FINITE PRESENTATIONS OF GROUPS AND 3-MANIFOLDS
• The Schur Multiplicator of Metacyclic Groups

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