Linear Groups (Classic Reprint): With an Exposition of the Galois Field Theory: With an Exposition of the Galois Field Theory (Classic Reprint) - Softcover
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Explore the foundations of linear groups and their invariant forms.
This reference delves into the structure of linear groups with quadratic invariants and the role of orthogonal groups in understanding symmetry. The material highlights how different systems of simple groups relate through holoedric isomorphism and how these ideas fit into the broader landscape of group theory.
Readers will encounter a careful, step‑by‑step treatment of how substitutions preserve quadratic forms, how generators build orthogonal groups, and how these concepts connect to the known classifications of simple groups. The text blends theory with concrete results and historical context, helping you see the connections across chapters and topics.
- How quadratic invariants shape the structure and actions of linear groups
- Generators and relations that define orthogonal subgroups
- Connections between various group systems and their isomorphisms
- Historical development and key theorems in the classification of simple groups
Ideal for readers with a background in abstract algebra who want a rigorous, reference‑style overview of linear groups and their invariants.
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Linear Groups: With an Exposition of the Galois Field Theory (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book presents a comprehensive examination of linear groups in a Galois Field. It is an essential resource for those interested in the field of finite groups, specifically the theories of abstract and substitution groups. Galois Fields, also known as finite fields, are algebraic structures with a finite number of elements. Since their introduction in the 19th century, Galois Fields have received considerable attention in various branches of mathematics. The book provides a detailed study of the structure, properties, and applications of linear groups within Galois Fields. It presents foundational concepts and delves into advanced topics, including the classification of linear homogeneous groups and the study of subgroups and their properties. The book's insights have significant implications for understanding the behavior and applications of linear groups in Galois Fields, making it an invaluable resource for mathematicians, computer scientists, and anyone interested in the interplay between algebra and finite group theory. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332021079_0
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Linear Groups
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Linear Groups
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Linear Groups with an Exposition, of the Galois Field Theory (Classic Reprint)
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Paperback. Zustand: Brand New. 326 pages. 9.00x6.00x0.74 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1332021077
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