O. T. O'Meara Lectures on Linear Groups

ISBN 13: 9780821898406

Lectures on Linear Groups

 
9780821898406: Lectures on Linear Groups
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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 theoremPSL n (o) @PSL n 1 (o 1 ) Un=n 1 and o@o 1for dimensions (3)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)3.

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9780821816721: Lectures on Linear Groups (Regional conference series in mathematics)

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ISBN 10:  0821816721 ISBN 13:  9780821816721
Publisher: American Mathematical Society, 1974
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O. T. O'Meara
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Book Description American Mathematical Society, United States, 2014. Paperback. 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 theoremPSL n (o) n 1 (o 1 ) Un=n 1 and 1for dimensions (3)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)3. Seller Inventory # AAN9780821898406

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Book Description American Mathematical Society, United States, 2014. Paperback. 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 theoremPSL n (o) n 1 (o 1 ) Un=n 1 and 1for dimensions (3)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)3. Seller Inventory # AAN9780821898406

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