Group Theory

This book brings together a collection of research articles by leading experts in group theory, alongside accessible survey papers highlighting recent developments in the field. The contributions provide a broad overview of the diverse themes, methods, and applications that characterize contemporary research in group theory. The topics covered include combinatorial and geometric group theory, with attention to varieties, braces, twisted conjugacy classes, and sofic groups; the structural analysis of infinite groups, such as existentially closed groups; and the study of finite groups, encompassing p-groups and maximal subgroups, the generation of simple groups, permutation groups, representations of finite groups, and graphs associated with groups. The work is addressed to researchers in the field.