The book "Solvable and simple infinite groups (a collection of articles)", written by a team of authors, including such outstanding mathematicians as Beery, Wilson, Higman and Hall, represents an important contribution to group theory, one of the central areas of modern algebra. This collection of articles, consisting of the works of leading scientists, explores the complex and fascinating aspects of infinite groups, their solvability and simplicity, making it an indispensable resource for students, researchers and anyone interested in algebraic structures. The book covers a wide range of topics related to infinite groups, including their classification, properties, and relationships with other mathematical concepts. The authors offer readers a unique view of solvable and simple groups, viewing them as key elements for understanding more complex algebraic systems. Each article in the collection is an independent study, but together they create a holistic picture, allowing the reader to gain a deeper understanding of how these groups function and how they can be used in various mathematical contexts. This book will be of particular interest to undergraduate and graduate students studying algebra and group theory, as well as professional mathematicians working in pure and applied mathematics. It can attract the attention of those who are interested not only in theoretical aspects, but also in practical applications of group theory in other areas, such as physics, computer science and even biology. Readers who are already familiar with the basics of group theory will find in this collection many new ideas and approaches that will help them expand their knowledge and deepen their understanding of the subject. Topics raised in the book range from basic concepts about groups to more complex issues, such as the structure and properties of infinite groups. The authors discuss various methods and techniques used to analyze these groups, including geometric and topological approaches. This makes the collection not only theoretically significant, but also a practical tool for researchers seeking to put their knowledge into practice. The style of the authors is clear and accessible, which allows readers to easily assimilate complex concepts. Each of them has extensive experience in group theory and algebra, and their individual approaches to research make the collection diverse and fascinating. Beery, Wilson, Higman and Hall are known for their previous work, which has also gained recognition in the scientific community. Their collaborative work in this collection highlights the importance of collaboration and exchange of ideas in mathematics, which is a key aspect of scientific progress. The book “Solvable and Simple Infinite Groups” will be a valuable addition to the library of any mathematician interested in group theory and its applications. It can serve as both a teaching tool for students and a source of inspiration for researchers seeking new discoveries in this exciting field. If you are looking for a deep and meaningful exploration of infinite groups, this work will not leave you indifferent. Do not miss the opportunity to immerse yourself in the world of algebra and discover new horizons with this unique collection of articles.