Overview

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 covered in this volume include: character theory, combinatorial group theory, varieties of groups, conjugacy classes, profinite groups, graphs connected with groups, subgroup structure, representation theory.Contents: On Abnormal Maximal Subgroups of Finite Groups (A Ballester-Bolinches et al.) Finite Gelfand Pairs: Examples and Applications (T Ceccherini-Silberstein et al.) On Blichfeld's Like Congruences and Other Close Characters Conjugacy Classes Analogs (D Chillag) Permutation Groups Defined by Unordered Relations (F Dalla Volta & J Siemons) Transitivity of Properties of 2-Generator Subgroups (C Delizia et al.) Some Simple Locally (Soluble-by-Finite) Groups (M R Dixon et al.) The Fundamental Group of a Connected Undirected Profinite Graph (W Herfort) On a Graph Associated with a Group (D Imperatore) Some Exceptional Minimal Situations by Finite p -Groups (Z Janko) Regular Limits of Infinite Symmetric Groups (O H Kegel) Large Normal and Characteristic Subgroups Satisfying Outer Commutator Identities and Their Applications (E I Khukhro) Soluble Linear Groups with Some Restrictions on Subgroups of Infinite Central Dimension (L A Kurdachenko et al.) Character Tables of Groups Where All Nonlinear Irreducible Characters Vanish Off the Center (M L Lewis) Some Results and Questions Related to the Generating Graph of a Finite Group (A Lucchini & A Maroti) On the Minimal Irreucibility of the Unipotent Characters of the Finite Unitary Groups (M A Pellegrini) A Note on Relative Isoclinism Classes of Compact Groups (R Resaei & F Russo) Restrictions of Brauer Characters and -Partial Characters (J Sangroniz) Real Characters and Degrees: An Overview (L Sanus) Varieties of Groups and the Restricted Burnside Problem (P Shumyatsky & J C Silva) The (2,3)-Generation of Matrix Groups Over the Integers (M C Tamburini) p -Projective Groups and Pro- p Trees (T Weigel) Readership: Researchers in group theory.

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