[PDF.93kr] Generic Polynomials: Constructive Aspects of the Inverse Galois Problem (Mathematical Sciences Research Institute Publications)

Generic Polynomials: Constructive Aspects of the Inverse Galois Problem (Mathematical Sciences Research Institute Publications)

[PDF.gm93] Generic Polynomials: Constructive Aspects of the Inverse Galois Problem (Mathematical Sciences Research Institute Publications)

Generic Polynomials: Constructive Aspects  Christian U. Jensen, Arne Ledet, Noriko Yui epub
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 | #5552016 in Books |  Cambridge University Press |  2002-12-09 | Original language:English | PDF # 1 |  9.21 x.79 x6.14l,1.10 | File type: PDF | 268 pages

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||0 of 0 people found the following review helpful.| Very useful for experimental mathematics research where the focus is on computation, discovery, and usability|By Lorenz H. Menke, Jr.|The constructive/algebraic approach is very useful for experimental mathematics research where the focus is on computation, discovery, and usability. It is well written and provides many references for further research. I would like to see a fo| |"...a clearly written book, which uses (almost) exclusively algebraic language (and no cohomology), and which will be useful for every algebraist or number theorist. It is easily accessible and suitable also for first-year graduate students." Mathematical s

This book describes a constructive approach to the Inverse Galois problem. The main theme 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...

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