VI All-Union Symposium on Group Theory . Abstracts” is a unique collection of scientific papers devoted to one of the most fascinating and complex areas of mathematics group theory. This symposium, held in the USSR, brought together under one roof leading scientists and researchers who shared their latest discoveries and ideas in this field. The book is a valuable source of information for both professionals and students seeking to deepen their knowledge in group theory. Group theory is a branch of mathematics that studies algebraic structures called groups that play a key role in various fields of science, from physics to computer science. This book contains abstracts of reports that cover a wide range of topics, ranging from basic concepts to modern achievements and applications of group theory. The reader will be able to immerse himself in the world of abstract algebra, exploring how groups can be used to solve complex problems and how they interact with other mathematical structures. This book will be of particular interest to students and graduate students studying mathematics, as well as teachers and researchers working in the field of algebra and group theory. It is suitable for those who are passionate about mathematics and want to expand their horizons, getting acquainted with the latest achievements in this field. Researchers working on projects related to symmetry, cryptography or theoretical physics will also find here a lot of useful information. Topics raised in the book range from classical group theory results to new approaches and methods that can be used to solve modern mathematical problems. Readers will be able to learn about the different types of groups, their properties and applications, as well as the relationship of group theory with other areas of mathematics. The book emphasizes the importance of group theory in modern scientific discourse and demonstrates how it continues to evolve, opening up new horizons for research. The style of the authors gathered at the symposium is distinguished by scientific rigor and clarity of presentation. Each thesis is written taking into account the relevance and significance of the material presented, which makes the book not only informative, but also easily perceived. The team of authors includes both well-known scientists and young researchers, which creates an interesting mix of ideas and approaches. For those interested in related topics, such as algebraic topology, combinatorics or mathematical logic, this book will be a real find. It can serve as a basis for further study and research, as well as inspire new experiments and discoveries in the field of mathematics. In conclusion, "VI All-Union Symposium on Group Theory. Theses of reports” is not just a collection of scientific papers, but a real treasure trove of knowledge that opens the door to the world of group theory. This book will become an indispensable assistant for anyone who seeks to understand complex mathematical concepts and apply them in practice. Do not miss the opportunity to immerse yourself in the fascinating world of mathematics and discover new horizons of knowledge!