Ischia Group Theory 2006: Proceedings of a Conference in Honor of Akbar Rhemtulla

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Overview

This volume contains a collection of research articles by leading experts in group theory and some accessible surveys of recent research in the area. Together they provide an overview of the diversity of themes and applications that interest group theorists today. Topics covered in this volume include: combinatorial group theory, varieties of groups, orderable groups, conjugacy classes, profinite groups, probabilistic methods in group theory, graphs connected with groups, subgroup structure, and saturated ...
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More About This Book

Overview

This volume contains a collection of research articles by leading experts in group theory and some accessible surveys of recent research in the area. Together they provide an overview of the diversity of themes and applications that interest group theorists today. Topics covered in this volume include: combinatorial group theory, varieties of groups, orderable groups, conjugacy classes, profinite groups, probabilistic methods in group theory, graphs connected with groups, subgroup structure, and saturated formations.
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Product Details

  • ISBN-13: 9789812707352
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 10/29/2007
  • Pages: 280
  • Product dimensions: 6.29 (w) x 8.73 (h) x 0.65 (d)

Table of Contents

Preface     vii
Sponsors     viii
Akbar Rhemtulla     ix
Bibliography     xii
Conference Program     xvii
List of Participants     xxi
A Combinatorial Property of Burnside Varieties of Groups   Alireza Abdollahi     1
A Note on Ends of Operator Algebras   Tullio G. Ceccherini-Silberstein   Aryeh Y. Samet-Vaillant     7
Minimal Quasinormal Subgroups of Groups   John Cossey   Stewart Stonehewer   Giovanni Zacher     13
On Certain Saturated Formations of Finite Groups   Alma D'Aniello   Clorinda De Vivo   Gabriele Giordano     22
Groups with Few Non-normal Subgroups   Maria De Falco   Francesco De Giovanni   Carmela Musella     33
Groups with Conditions on Infinite Subsets   Costantino Delizia   Chiara Nicotera     46
Some Generalizations of the Probabilistic Zeta Function   Eloisa Detomi   Andrea Lucchini     56
Groups with Proper Subgroups of Certain Types   Martyn R. Dixon   Martin J. Evans   Howard Smith     73
Counting Conjugacy Classes of Subgroups in Finite p-groups, I   Gustavo A. Fernandez-Alcober   Leire Legarreta     83
On Certain Classes of Generalized Periodic Groups   Gerard Endimioni     93
Nielsen Equivalence Classes and Stability Graphs of Finitely Generated Groups   Martin J. Evans     103
Counting Conjugacy Classes of Subgroups in Finite p-groups, II   Manuel Egizii Di Marco   Gustavo A. Fernandez-Alcober   Leire Legarreta     120
Positive Laws on Large Sets of Generators and on Word Values   Gustavo A. Fernandez-Alcober   Pavel Shumyatsky     125
Two Applications of the Hughes Subgroup of Finite p-groups   Norberto Gavioli   Avinoam Mann   Carlo M. Scoppola     138
Free Products and Higman-Neumann-Neumann Type Extensions of Lattice-Ordered Groups   Andrew M. W. Glass     147
Attaching to a Profinite Space   Wolfang Herfort   Wolfram Hojka     166
On Groups with Two Infinite Conjugacy Classes   Marcel Herzog   Patrizia Longobardi   Mercede Maj     175
Centralizers of Nonabelian Irreducible Equivalent G-groups   Paz Jimenez-Seral     190
Some New Methods for Almost Regular Automorphisms   Evgeny I. Khukhro     200
Non-Properness of Amenable Actions on Graphs with Infinitely Many Ends    Soyoung Moon   Alain Valette     227
Groups with Finitely Many Maximal Normalizers   Carmela Sica   Maria Tota     234
Locally Graded Groups with Few Non-(Torsion-by-Nilpotent) Subgroups   Nadir Trabelsi     243
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