Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area.
This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.
This book provides an advanced look at the basic theory of groups. It integrates classic material and new concepts and offers an introduction for those new to the theory of groups.
<p><em>Fundamentals of Group Theory </em>provides an advanced look at the basic theory of groups. Standard topics in the field are covered alongside a great deal of unique content. There is an emphasis on universality when discussing the isomorphism theorems, quotient groups and free groups as well as a focus on the role of applying certain operations, such as intersection, lifting and quotient to a &ldquo;group extension&rdquo;. Certain concepts, such as subnormality, group actions and chain conditions are introduced perhaps a bit earlier than in other texts at this level, in the hopes that the reader would acclimate to these concepts earlier.</p>
<p>Some additional features of the work include:</p>
<p>l£²
![Fundamentals of Group Theory An Advanced Approach [Hardcover]](/itemImage/2/3/5/9/2_232923.jpg "Fundamentals of Group Theory An Advanced Approach [Hardcover] xxx")