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Linear Representations of Finite Groups Paperback – 1977

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Product Details

  • Paperback
  • Publisher: Publisher Unknown (1977)
  • ASIN: B000VLEWAC
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (4 customer reviews)

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35 of 38 people found the following review helpful By A Customer on October 27, 1996
Format: Hardcover
This is a an excellent introduction to the subject. The book really breaks into 3 distinct parts. The first 5 chapters are a rapid introduction to the basics, similar to what one would get from any indroductory text. They are most notable for actually going through the details on D_n, S_n cyclic groups...
The second section (chapters 6-13) gives a more graduate level presentation of the material. Starting with a discussion of group algebras, moving onto inducted representations Artin's theorem (the existence of virtual characters)
The third section is Brauer Theory.

The book is by Serre so it goes without saying it one of the best if not the best book on the market. His failure to deal with the additional complexities of the infinite group case (which he indicates in the title) is a small problem. He could have spent at least 1 chapter addressing how the results of the book could be extended. The index of notation is a fantastic asset for a subject where notation plays such a large role.
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By Zhenchao Ge on May 11, 2015
Format: Hardcover Verified Purchase
Very useful. I read first part and got a Corollary that generalizes my research result.
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6 of 19 people found the following review helpful By Roger Bagula on May 19, 2011
Format: Hardcover Verified Purchase
Jean-Pierre Serre is a famous fellow: that is why I bought his book.
I have as contrast a book by Willem Brouwer and one by Coexter which are clean
concise and useful. If you can get the Coexter and Moser classic:Generators and Relations for Discrete Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) ,also found under ISBN-10: 0387092129.
Both versions are out of print.Representation Theory of Finite Groups has the virtue of being cheap and available and somewhat more readable than the Serre book. The Brouwer book of tables is a Rice university press book from the library without a ISBN and isn't listed at amazon.
The French method of presenting Math goes back to the Nicolas Bourbaki books that were written by groups
of people and are "formally correct", but just not how you want to teach math.
Unless you already have a PH.D. in group theory, try something cheaper and easier to start.
There are a lot of books on the theory of representations of groups, but none are very easy.
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0 of 10 people found the following review helpful By Ian Hogan on November 27, 2012
Format: Hardcover Verified Purchase
Book came on time in near-perfect condition. I suspect it hadn't been opened. Potentially a source for books bought on recommendation and never used...anyway; the system works. I got the book.
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