Computational and Statistical Group Theory.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gilman, Robert
Otros Autores: Myasnikov, Alexei G., Shpilrain, Vladimir
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2002.
Colección:Contemporary Mathematics.
Temas:
Group theory > Data processing > Congresses.
Finite groups > Data processing > Congresses.
Combinatorial group theory > Data processing > Congresses.
Mathematics.
Physical Sciences & Mathematics.
Algebra.
Théorie des groupes > Informatique > Congrès.
Groupes finis > Informatique > Congrès.
Théorie combinatoire des groupes > Informatique > Congrès.
Combinatorial group theory > Data processing
Finite groups > Data processing
Group theory > Data processing
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • Preface
  • Uniform growth, actions on trees and GL2
  • Centralisers of involutions in black box groups
  • Measuring sets in infinite groups
  • 1. Introduction
  • 2. Conditions on a measure
  • 3. Atomic probability measures
  • 4. Kolmogorov complexity functions
  • 5. Kolmogorov complexity functions on finitely generated groups
  • 6. Short elements bias and behaviour at infinity
  • 7. Degrees of polynomial growth on average
  • 8. Measures generated by random walks
  • 9. Behaviour of the induced measures on finite factor groups
  • 10. The growth function and asymptotic densityReferences
  • Quantum one-way automata and finitely generated groups
  • Spectral properties of a torsion-free weakly branch group defined by a three state automaton
  • Malnormal subgroups of free groups
  • Variants of product replacement
  • Weakly amenable groups
  • The Knuth-Bendix procedure for strings and large rewriting systems

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