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.

Contents:

• A Combinatorial Property of Burnside Varieties of Groups (A Abdollahi)
• A Note on Ends of Operator Algebras (T G Ceccherini-Silberstein & A Y Samet-Vaillant)
• Minimal Quasinormal Subgroups of Groups (J Cossey, S Stonehewer & G Zacher)
• On Certain Saturated Formations of Finite Groups (A D’Aniello, C De Vivo & G Giordano)
• Groups with Few Non-normal Subgroups (M De Falco, F de Giovanni & C Musella)
• Groups with Conditions of Infinite Subsets (C Delizia & C Nicotera)
• Some Generalizations of the Probabilistic Zeta Function (E Detomi & A Lucchini)
• Groups with Proper Subgroups of Certain Types (M R Dixon, M J Evans & H Smith)
• Counting Conjugacy Classes of Subgroups in Finite p-groups, I (G A Fernández-Alcober & L Legarreta)
• On Certain Classes of Generalized Periodic Groups (G Endimioni)
• Nielsen Equivalence Classes and Stability Graphs of Finitely Generated Groups (M J Evans)
• Counting Conjugacy Classes of Subgroups in Finite p-groups, II (M Egizii Di Marco, G A Fernández-Alcober & L Legarreta)
• Positive Laws on Large Sets of Generators and on Word Values (G A Fernández-Alcober & P Shumyatsky)
• Two Applications of the Hughes Subgroup of Finite p-groups (N Gavioli, A Mann & C M Scoppola)
• Free Products and Higman–Neumann–Neumann Type Extensions of Lattice-Ordered Groups (A M W Glass)
• Attaching to a Profinite Space (W Herfort & W Hojka)
• On Groups with Two Infinite Conjugacy Classes (M Herzog, P Longobardi & M Maj)
• Centralizers of Nonabelian Irreducible Equivalent G-groups (P Jiménez-Seral)
• Some New Methods for Almost Regular Automorphisms (E I Khukhro)
• Non-Properness of Amenable Actions on Graphs with Infinitely Many Ends (S Moon & A Valette)
• Groups with Finitely Many Maximal Normalizers (C Sica & M Tota)
• Locally Graded Groups with Few Non-(Torsion-by-Nilpotent) Subgroups (N Trabelsi)