Representations and characters of groups. (Q2753063)
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scientific article; zbMATH DE number 1666801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representations and characters of groups. |
scientific article; zbMATH DE number 1666801 |
Statements
24 October 2001
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ordinary representations
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characters of groups
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applications to molecular vibrations
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introductory book
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representation theory of finite groups
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character calculations
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groups of order \(p^aq^b\)
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\(\text{GL}(2,p)\)
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Clifford's theorem
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Brauer-Fowler theorem
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character tables
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Representations and characters of groups. (English)
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The first edition of the book (1993) was very well received, so that it was reprinted in 1995. This reviewer wrote the review on that (Zbl 0792.20006). Now in 2001, a second edition has been published. In comparison to the first edition, substantial additions have been made: In chapter 20 on Clifford's theorem on normal subgroups, in chapter 23 on the Brauer-Fowler theorem, in the former chapter 28 on remarks regarding Brauer's centralizer-of-an-involution techniques. Two new chapters have been added: chapter 28 on the character table of \(\text{GL}(2,p)\) and chapter 29 on permutations and characters.NEWLINENEWLINENEWLINEOn the whole, this reviewer regards the second printing of the book as a gem in studying representation theory of finite groups.
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