The Theory of Groups

The Theory of Groups by Marshall Hall Jr. is a comprehensive and rigorous introduction to the theory of abstract algebraic groups. The book begins by defining groups and their basic properties, such as closure, associativity, and inverse elements. It then goes on to explore subgroups, homomorphisms, and isomorphisms, and discusses the fundamental theorem of homomorphisms. The book also covers important topics such as group actions, the Sylow theorems, and the structure of finite abelian groups. In addition, it delves into the theory of free groups, presentations, and relations. The final chapters of the book focus on more advanced topics such as solvable and nilpotent groups, and the classification of finite simple groups. The book includes numerous exercises and examples throughout, making it an ideal resource for students and researchers alike. Overall, The Theory of Groups is a valuable reference for anyone interested in the theory of abstract algebraic groups.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.