""An Introduction to the Theory of Groups of Finite Order"" is a comprehensive textbook written by Harold Hilton, which provides an in-depth understanding of the theory of groups of finite order. The book is designed to introduce the reader to the fundamental concepts and principles of group theory, which is an essential branch of abstract algebra. The book covers a wide range of topics, including group structure, subgroups, homomorphisms, isomorphisms, and group actions. It also discusses important theorems, such as Lagrange's theorem, Sylow's theorem, and the classification of finite simple groups. The book is aimed at undergraduate and graduate students in mathematics, but it can also be used as a reference for researchers and professionals in the field. The book is well-organized and written in a clear and concise style, with numerous examples and exercises to help the reader understand the material. Overall, ""An Introduction to the Theory of Groups of Finite Order"" is an excellent resource for anyone interested in learning about group theory and its applications.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

Pr�sentation de l'�diteur

From the PREFACE.
THIS book aims at introducing the reader to more advanced treatises and original papers on Groups of finite order. The subject requires for its study only an elementary knowledge of Algebra (especially Theory of Numbers), but the average student may nevertheless find the many excellent existing treatises rather stiff reading. I have tried to lighten for him the initial difficulties, and to show that even the most recent developments of pure Mathematics are not necessarily beyond the reach of the ordinary mathematical reader.
I have omitted as far as possible lengthy and difficult investigations; their place is, taken by an unusually numerous selection of examples. Students who have had no previous acquaintance with the subject should work a few of these examples after reading each section. Many of them can be solved at sight, and are inserted merely to make the reader familiar with the definitions and theorems of the text. Hints for the solution of the rest will be found at the end of the book.
In an elementary treatise references would be out of place; for complete lists the reader may consult Easton's Constructive Development of Group-Theory (Philadelphia University, 1902), and Miller's 'Reports on Group-Theory' in Bulletin Amer. Math. Soc., v (1899), p. 227; vii (1900), p. 121 ; ix (1902), p. 106; xiv (1907), pp. 78, 124….

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.