Classgroups of Group Rings, by Taylor

Taylor, Martin

Published by Cambridge University Press, 1984
ISBN 10: 0521278708 / ISBN 13: 9780521278706
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Synopsis: This book is a self-contained account of the theory of classgroups of group rings. The guiding philosophy has been to describe all the basic properties of such classgroups in terms of character functions. This point of view is due to A. Frohlich and it achieves a considerable simplification and clarity over previous techniques. A main feature of the book is the introduction of the author's group logarithm, with numerous examples of its application. The main results dealt with are: Ullom's conjecture for Swan modules of p-groups; the self-duality theorem for rings of integers of tame extensions; the fixed-point theorem for determinants of group rings; the existence of Adams operations on classgroups. In addition, the author includes a number of calculations of classgroups of specific families of groups such as generalized dihedral groups, and quaternion and dihedral 2-groups. The work contained in this book should be readily accessible to any graduate student in pure mathematics who has taken a course in the representation theory of finite groups. It will also be of interest to number theorists and algebraic topologists.

Book Description: This book is a self-contained account of the theory of classgroups of group rings. The guiding philosophy has been to describe all the basic properties of such classgroups in terms of character functions. This point of view is due to A. Frohlich and it achieves a considerable simplification and clarity over previous techniques.

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Title: Classgroups of Group Rings, by Taylor
Publisher: Cambridge University Press
Publication Date: 1984
Binding: Paperback
Book Condition: Fair

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Taylor, Martin J.
Published by Cambridge University Press (1984)
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Book Description Cambridge University Press, 1984. Book Condition: Good. 1st Edition. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP84213133

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Taylor, Martin J.
Published by Cambridge University Press (1984)
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Book Description Cambridge University Press, 1984. Book Condition: Very Good. 1st Edition. Former Library book. Great condition for a used book! Minimal wear. Bookseller Inventory # GRP96193464

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Published by Cambridge University Press (1984)
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Book Description Cambridge University Press, 1984. Paperback. Book Condition: Good. EX-LIBRARY. Stamps on textblock, label on spine, card slot on inside pastedown. Slight shelf wear. Pages are clean and vibrant, binding is tight. Bookseller Inventory # mon0001487591

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Taylor, Martin J.
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Book Description Cambridge University Press, 1984. Book Condition: Good. 1st Edition. Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP95635751

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Book Description Cambridge Univ Pr, Spain, 1984. Book Condition: Very Good. Mm 150x225 London Mathematical Society Lecture Note Series 91. Brossura editoriale di pp. 119, in ottimo stato, come nuovo. SPEDIZIONE IN 24 ORE DALLA CONFERMA DELL'ORDINE. Bookseller Inventory # 047336

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Taylor, Martin
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Book Description Cambridge University Press, 1984. paperback. Book Condition: Good. Cover very lightly sunned/soiled, corners very lightly bumped/rubbed, spine ends very lightly bumped/rubbed; edges age-toned; ffep has incompletely effaced inscriptions; binding tight; cover, edges, and interior all intact and clean except as noted. Bookseller Inventory # 603353

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Editor-Martin J. Taylor
Published by Cambridge University Press (1984)
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Book Description Cambridge University Press, 1984. Paperback. Book Condition: Used: Good. Bookseller Inventory # SONG0521278708

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Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****.This book is a self-contained account of the theory of classgroups of group rings. The guiding philosophy has been to describe all the basic properties of such classgroups in terms of character functions. This point of view is due to A. Frohlich and it achieves a considerable simplification and clarity over previous techniques. A main feature of the book is the introduction of the author s group logarithm, with numerous examples of its application. The main results dealt with are: Ullom s conjecture for Swan modules of p-groups; the self-duality theorem for rings of integers of tame extensions; the fixed-point theorem for determinants of group rings; the existence of Adams operations on classgroups. In addition, the author includes a number of calculations of classgroups of specific families of groups such as generalized dihedral groups, and quaternion and dihedral 2-groups. The work contained in this book should be readily accessible to any graduate student in pure mathematics who has taken a course in the representation theory of finite groups. It will also be of interest to number theorists and algebraic topologists. Bookseller Inventory # AAV9780521278706

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Taylor, Martin
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Book Description Cambridge University Press, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780521278706_lsuk

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