The notes in this volume evolved from lectures at the California Institute of Technology during the spring of 1968, from ten survey lectures on classical and Chevalley groups at an NSF Regional Conference at Arizona State University in March 1973, and from lectures on linear groups at the University of Notre Dame in the fall of 1973. The author's goal in these expository lectures was to explain the isomorphism theory of linear groups over integral domains as illustrated by the theorem PSL n (o) @ PSL n 1 (o 1 ) U n=n 1 and o @ o 1 for dimensions 3 . The theory that follows is typical of much of the research of the last decade on the isomorphisms of the classical groups over rings. The author starts from scratch, assuming only basic facts from a first course in algebra. The classical theorem on the simplicity of PSL n (F) is proved, and whatever is needed from projective geometry is developed. Since the primary interest is in integral domains, the treatment is commutative throughout. In reorganizing the literature for these lectures the author extends the known theory from groups of linear transformations to groups of collinear transformations, and also improves the isomorphism theory from dimensions 3.

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**Book Description **American Mathematical Society, United States, 2014. Paperback. Book Condition: New. Language: English . Brand New Book. The notes in this volume evolved from lectures at the California Institute of Technology during the spring of 1968, from ten survey lectures on classical and Chevalley groups at an NSF Regional Conference at Arizona State University in March 1973, and from lectures on linear groups at the University of Notre Dame in the fall of 1973. The author s goal in these expository lectures was to explain the isomorphism theory of linear groups over integral domains as illustrated by the theorem PSL n (o) PSL n 1 (o 1 ) U n=n 1 and o o 1 for dimensions 3 . The theory that follows is typical of much of the research of the last decade on the isomorphisms of the classical groups over rings. The author starts from scratch, assuming only basic facts from a first course in algebra. The classical theorem on the simplicity of PSL n (F) is proved, and whatever is needed from projective geometry is developed. Since the primary interest is in integral domains, the treatment is commutative throughout. In reorganizing the literature for these lectures the author extends the known theory from groups of linear transformations to groups of collinear transformations, and also improves the isomorphism theory from dimensions 3. Bookseller Inventory # AAN9780821898406

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Published by
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ISBN 10: 082189840X
ISBN 13: 9780821898406

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**Book Description **American Mathematical Society, United States, 2014. Paperback. Book Condition: New. Language: English . Brand New Book. The notes in this volume evolved from lectures at the California Institute of Technology during the spring of 1968, from ten survey lectures on classical and Chevalley groups at an NSF Regional Conference at Arizona State University in March 1973, and from lectures on linear groups at the University of Notre Dame in the fall of 1973. The author s goal in these expository lectures was to explain the isomorphism theory of linear groups over integral domains as illustrated by the theorem PSL n (o) PSL n 1 (o 1 ) U n=n 1 and o o 1 for dimensions 3 . The theory that follows is typical of much of the research of the last decade on the isomorphisms of the classical groups over rings. The author starts from scratch, assuming only basic facts from a first course in algebra. The classical theorem on the simplicity of PSL n (F) is proved, and whatever is needed from projective geometry is developed. Since the primary interest is in integral domains, the treatment is commutative throughout. In reorganizing the literature for these lectures the author extends the known theory from groups of linear transformations to groups of collinear transformations, and also improves the isomorphism theory from dimensions 3. Bookseller Inventory # AAN9780821898406

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**Book Description **American Mathematical Society, 2014. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # CE-9780821898406

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**Book Description **Amer Mathematical Society, 1977. Paperback. Book Condition: Brand New. 87 pages. In Stock. Bookseller Inventory # __082189840X

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