The book "Groups C(B,N)-couples and subgroup descriptions of groups of lye type" edited by B. M. Levchuk and the team of authors is a unique study in the field of algebra, which will be of interest to both professional mathematicians and students seeking to deepen their knowledge in group theory. This work opens new horizons in understanding the structure and properties of groups, making it an important contribution to modern mathematical science. The book focuses on groups C(B,N)-couples, which are a special class of groups with interesting properties and applications. The authors examine in detail various aspects of these groups, including their subgroup structures and relationships with the Lie groups. This study not only deepens theoretical knowledge, but also offers practical tools for working with groups, making it a valuable resource for researchers and practitioners. The book will be especially useful for undergraduate and graduate students studying algebra and group theory, as well as for teachers who are looking for new approaches to explain complex concepts. It is suitable for those interested in mathematical theory and its applications in other fields of science, such as physics and computer science. If you are passionate about mathematics and want to expand your horizons, this book will be a real find for you. The topics raised in the book cover a wide range of issues related to groups and their subgroups. The authors explore how groups of C(B,N) pairs can be used to describe more complex structures and how they interact with other mathematical objects. This allows the reader not only to delve into theory, but also to see the practical application of their knowledge. The style of the authors is distinguished by clarity and accessibility, which makes complex concepts more understandable. They use a lot of examples and illustrations, which helps the reader to better absorb the material .. In addition, the book contains exercises and tasks that will allow readers to test their knowledge and consolidate the material studied. In. M. Levchuk, as one of the leading authors, has already established himself in the field of algebra. His previous works, such as Group Theory and its Applications and Algebraic Structures, have also gained recognition among the scientific community. In this book, he continues to develop his ideas and share new discoveries with readers, making it especially valuable for those who follow the latest trends in mathematics. If you are looking for a book that will help you understand group theory more deeply and expand your mathematical horizons, “Groups C(B,N)-couple and subgroup descriptions of Lie type groups” will be an excellent choice. This work will not only enrich your knowledge, but also inspire further research in the field of algebra. Do not miss the opportunity to get acquainted with this fascinating and informative work, which will become a reliable companion on your way to mathematical mastery.