Separability and efficiency under standard wreath product in terms of Cayley graphs.

DOI10.1216/RMJ-2008-38-3-779zbMath1176.20026OpenAlexW2014775600MaRDI QIDQ1011032

Ahmet Sinan Cevik, Fırat Ateş

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2008-38-3-779

zbMATH Keywords

efficiencywreath productsnumbers of generatorsefficient presentationssubgroup separability

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26)

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Cites Work

• Collineation groups of projective planes of order n
• Combinatorial group theory.
• The deficiency of wreath products of groups
• Some homology groups of wreathe products
• Minimal Presentations for Finite Groups
• (Cyclic) subgroup separability of HNN and split extensions
• H.N.N. Extensions of a Free Group by Z which are Subgroup Seperable
• The efficiency of standard wreath product
• FINITE PRESENTATIONS OF GROUPS AND 3-MANIFOLDS
• The structure of automorphism groups of Cayley graphs and maps.
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