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Item Details
| Title:
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GENERIC POLYNOMIALS
CONSTRUCTIVE ASPECTS OF THE INVERSE GALOIS PROBLEM |
| By: |
Christian U. Jensen, Arne Ledet, Noriko Yui |
| Format: |
Hardback |
| List price:
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£88.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0521819989 |
| ISBN 13: |
9780521819985 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
9 December, 2002 |
| Series: |
Mathematical Sciences Research Institute Publications No.45 |
| Pages: |
268 |
| Description: |
A constructive approach to the Inverse Galois problem. |
| Synopsis: |
This book describes a constructive approach to the Inverse Galois problem: Given a finite group G and a field K, determine whether there exists a Galois extension of K whose Galois group is isomorphic to G. Further, if there is such a Galois extension, find an explicit polynomial over K whose Galois group is the prescribed group G. The main theme of the book is an exposition of a family of 'generic' polynomials for certain finite groups, which give all Galois extensions having the required group as their Galois group. The existence of such generic polynomials is discussed, and where they do exist, a detailed treatment of their construction is given. The book also introduces the notion of 'generic dimension' to address the problem of the smallest number of parameters required by a generic polynomial. |
| Illustrations: |
7 b/w illus. 1 table 88 exercises |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |
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