Ischia Group Theory 2008 - Proceedings Of The Conference In Group Theory.

The volume contains a collection of research articles by leading experts in group theory, and reports of several accessible surveys of recent research in the area. The compilation provide an overview of the diversity of themes and applications that interest today's group theorists. The topics c...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: World Scientific 2009.
Temas:
Representations of groups > Congresses.
Nilpotent groups > Congresses.
Sylow subgroups > Congresses.
Group theory > Congresses.
Représentations de groupes > Congrès.
Groupes nilpotents > Congrès.
Sous-groupes de Sylow > Congrès.
Théorie des groupes > Congrès.
Group theory
Nilpotent groups
Representations of groups
Sylow subgroups
Electronic resource.
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover13;
  • Contents
  • Preface
  • Sponsors
  • Conference Program
  • Registered Participants
  • On Abnormal Maximal Subgroups of Finite Groups A. Ballester-Bolinches, J. Cossey and R. Esteban-Romero
  • 1. Introduction
  • Acknowledgments
  • References
  • Finite Gelfand Pairs: Examples and Applications T. Ceccherini-Silberstein, D. D'Angeli, A. Donno, F. Scarabotti and F. Tolli
  • 1. Introduction
  • 2. Finite Gelfand pairs
  • 2.1. Definitions
  • 2.2. First examples
  • 2.3. Characterizations of finite Gelfand pairs
  • 2.4. Spherical functions
  • 2.5. The spherical Fourier transform
  • 2.6. Applications of the spherical Fourier transform to probability
  • 2.7. An example and an application: the Johnson scheme and the Bernoulli-Laplace diffusion model
  • 2.8. Other fundamental examples
  • 3. Trees, wreath products and nite Gelfand pairs
  • 3.1. The Gelfand pair (Aut(Tr);K(r; s))
  • 3.2. Composition and exponentiation of Gelfand pairs
  • 3.3. The generalized Johnson scheme
  • 3.4. The end of the story
  • 4. Groups acting on trees.
  • 5. Gelfand pairs and self-similar groups
  • 6. Gelfand pairs and generalized wreath products of permutation groups
  • 6.1. Preliminaries
  • 6.2. The generalized wreath product
  • 6.3. Gelfand pairs
  • 6.4. Spherical functions
  • Acknowledgments
  • References
  • On Blichfeldt's Like Congruences and Other Close Characters ' Conjugacy Classes Analogs D. Chillag
  • 1. Introduction
  • 2. Two examples
  • 3. Pairs of analogous notions
  • 4. Pairs of analogous theorems
  • 5. Blichfeldt's type congruences and their analogs
  • References
  • Permutation Groups De ned by Unordered Relations F. Dalla Volta and J. Siemons
  • 1. Introduction
  • 2. Definitions and the Proof of Theorems 1.1 and 1.2
  • 3. Regular Sets
  • References
  • Transitivity of Properties of 2-generator Subgroups C. Delizia, P. Moravec and C. Nicotera
  • 1. Introduction
  • 2. Finite XT-groups
  • 3. Infinite XT-groups
  • 4. Infinite polycyclic-transitive groups
  • References
  • Some Simple Locally (Soluble-by-Finite) Groups M.R. Dixon, M.J. Evans and H. Smith
  • 1. Introduction
  • 2. Embedding groups in simple groups
  • 3. Some constructions for simple locally (soluble-by- nite) groups
  • Acknowledgements
  • References
  • The Fundamental Group of a Connected Undirected Pro nite Graph W. Herfort
  • Introduction
  • 1. Profinite graphs
  • 1.1. Definition of ()
  • 1.2. Orientable pro nite graphs
  • 1.3. Products, equalizers and projective limits
  • 2. Graph actions and G-graphs
  • 2.1. General definitions
  • 3. Galois covers
  • 3.1. A non-orientable simply connected graph
  • 3.2. Description of the fundamental group of a connected graph
  • Acknowledgements
  • References
  • On a Graph Associated with a Group D. Imperatore
  • 1. Introduction
  • 2. Some examples and properties
  • 3. The abelian case
  • 4. The nilpotent case
  • 5. The supersolvable case
  • Bibliography
  • Some Exceptional Minimal Situations by Finite p-groups Z. Janko
  • References
  • Regular Limits of In nite Symmetric Groups O.H. Kegel
  • 1. Introduction
  • 2. Bounded Subgroups of S for a limit ordinal
  • 3. Belyaev factorised groups
  • 4. Existentially closed groups
  • 5. Universal Groups
  • References
  • Large Normal and Characteristic Subgroups Satisfying Outer Commutator Id.

Ejemplares similares