Mathematische Werke 1

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This comprehensive work features a collection of research and lecture notes by Helmut Wielandt, focusing on various aspects of group theory. It begins with a preface and a curriculum vitae, followed by a tribute to his Ph.D. students. The first section delves into permutation groups, showcasing Wielandt's contributions through numerous research papers on topics such as transitive groups, primitive permutations, and automorphisms. Subsequent sections explore subnormality, presenting research on invariant subgroups, Sylow groups, and criteria for subnormality in finite groups. The third section addresses factorised groups, discussing the structure of nilpotent groups and their products. The fourth section examines the ?-structure of finite groups, including Sylow's theorems and the normal structure of composite groups. The work also touches on near-rings and includes miscellaneous research papers that cover a range of topics, from p-groups to the existence of normal subgroups in finite groups. Each section is meticulously organized, offering insights into Wielandt's influential research and the development of group theory. The volume concludes with acknowledgements and a bibliography, providing a valuable resource for scholars in the field.