The papers in this volume represent the proceedings of the Conference entitled "Ischia Group Theory 2010", which took place at NH Ischia Thermal SPA Resort, Ischia, Naples, Italy, from April 14 to April 17, 2010. The articles in this volume are contributions by speakers and participants of the Conference.The 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: finite p-groups, character and representation theory, combinatorial group theory, varieties of groups, profinite and pro-p-groups, linear groups, graphs connected with groups, subgroup structure, finiteness conditions, radical rings, conjugacy classes, automorphisms.
Positive Laws on Generators in Powerful Pro-p Groups (C Acciarri & G A Fernandez-Alcober); Periodic Groups Saturated by Dihedral Subgroups (B Amberg & L Kazarin); A Note on Finite Groups in Which the Conjugacy Class Sizes are in an Arithmetic Progression (M Bianchi et al.); A Survey of Recent Progress on Non-Abelian Tensor Squares of Groups (R D Blyth et al.); Conjugacy Classes of Subgroups of Finite p-Groups: The First Gap (R Brandl); The Tutte Polynomial of the Schreier Graphs of the Grigorchuk Group and the Basilica Group (T Ceccherini-Silberstein et al.); On Maximal Subgroups of the Alternating and Symmetric Groups (V Colombo); Markov's Problems Through the Looking Glass of Zariski and Markov Topologies (D Dikranian & D Toller); Linear Groups with Finite Dimensional Orbits (M R Dixon et al.); Three-Dimensional Loops as Sections in a Four-Dimensional Solvable Lie Groups (A Figula); A Note on Finite p-Groups with a Maximal Elementary Abelian Subgroup of Rank 2 (G Glaubermann); Finitely Generated Free by Cpn Pro-p Groups (W Herfort & P A Zalesskii); and other papers.
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