{"product_id":"group-theory-dover-books-on-mathematics","title":"Group Theory (Dover Books on Mathematics)","description":"\u003ch3\u003eBook Details\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: W. R. Scott\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eEdition\u003c\/strong\u003e: New Edition\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBinding\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePages\u003c\/strong\u003e: 512\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date\u003c\/strong\u003e: 23-06-2010\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9780486653778\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eDimensions\u003c\/strong\u003e: 8.5 x 5.4 x 1.1 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguages\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch3\u003eAbout the Book\u003c\/h3\u003e\n\u003cp\u003e\u003cstrong\u003eGroup Theory\u003c\/strong\u003e by W. R. Scott is a well-organized and clearly written undergraduate-level textbook that provides a comprehensive introduction to group theory, an essential area of modern mathematics. The book is designed to offer a rigorous exploration of both finite and infinite groups, while also developing a substantial portion of their superstructure. It is ideal for students looking for an accessible, yet thorough treatment of group theory that includes proofs, examples, and a wide range of exercises.\u003c\/p\u003e\n\u003ch4\u003eKey Features:\u003c\/h4\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eCoverage of Standard Theorems\u003c\/strong\u003e: The book covers most of the basic theorems in group theory, offering detailed proofs and explanations. Topics include:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eIsomorphism Theorems\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eDirect Sums\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ep-Groups and p-Subgroups\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eFree Groups and Free Products\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePermutation Groups\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eTransformations and Subgroups\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAbelian Groups\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eSupersolvable Groups\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eExtensions\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRepresentations\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eFurther Theorems\u003c\/strong\u003e: In addition to the standard topics, the book explores more advanced results, including:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003eInfinite symmetric and alternating groups\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eProducts of subgroups\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eThe multiplicative group of a division ring\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eFC groups\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eExercises\u003c\/strong\u003e: The book contains over \u003cstrong\u003e500 exercises\u003c\/strong\u003e of varying difficulty, allowing students to test their understanding and deepen their mastery of group theory. The exercises are well-suited for self-study and are integrated with the material for practice and review.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eSelf-Contained\u003c\/strong\u003e: Except for the later chapters (which require some knowledge of linear algebra, polynomials, algebraic integers, and elementary number theory), the text is largely self-contained, making it suitable for a wide range of students in mathematics.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eIdeal for Text or Reference\u003c\/strong\u003e: This book can be used as both a textbook for coursework and a reference guide for those exploring group theory in greater depth.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch4\u003eWhy This Book is Important:\u003c\/h4\u003e\n\u003cp\u003e\u003cstrong\u003eGroup Theory\u003c\/strong\u003e by W. R. Scott is a classic and highly regarded introduction to group theory. Its clarity and thoroughness make it an excellent choice for undergraduate students studying abstract algebra. The book's well-balanced approach, combining theory with practical exercises, ensures that students gain both the theoretical knowledge and problem-solving skills required in this important field of mathematics.\u003c\/p\u003e\n\u003ch4\u003eWho Should Read This Book:\u003c\/h4\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eUndergraduate Students\u003c\/strong\u003e: Ideal for students studying mathematics, particularly those focused on algebra, group theory, or abstract mathematics.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eSelf-Learners\u003c\/strong\u003e: The book's structure and abundance of exercises make it suitable for independent study.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eInstructors\u003c\/strong\u003e: A valuable resource for teaching group theory, providing a wealth of material for lectures, assignments, and exams.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eMathematics Enthusiasts\u003c\/strong\u003e: Anyone interested in the foundational aspects of group theory will find this text a thorough and valuable reference.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49941714272560,"sku":"Sarat_9780486653778","price":1400.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-group-theory-dover-books-on-mathematics-41291285627184.jpg?v=1775948737","url":"https:\/\/www.retailmaharaj.com\/products\/group-theory-dover-books-on-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}