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Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series) Book

Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series)
Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series), In 1963 Walter Feit and John G. Thompson published a proof of a 1911 conjecture by Burnside that every finite group of odd order is solvable. This proof, which ran for 255 pages, was a tour-de-force of mathematics and inspired intense effort to classify f, Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series) has a rating of 3 stars
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Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series), In 1963 Walter Feit and John G. Thompson published a proof of a 1911 conjecture by Burnside that every finite group of odd order is solvable. This proof, which ran for 255 pages, was a tour-de-force of mathematics and inspired intense effort to classify f, Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series)
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  • Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series)
  • Written by author Helmut Bender
  • Published by Cambridge University Press, January 1995
  • In 1963 Walter Feit and John G. Thompson published a proof of a 1911 conjecture by Burnside that every finite group of odd order is solvable. This proof, which ran for 255 pages, was a tour-de-force of mathematics and inspired intense effort to classify f
  • The book presents a new version of the local analysis section of the Feit-Thompson theorem.
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Preface
Ch. IPreliminary Results1
1Elementary Properties of Solvable Groups1
2General Results on Representations9
3Actions of Frobenius Groups and Related Results17
4p-Groups of Small Rank33
5Narrow p-Groups44
6Additional Results49
Ch. IIThe Uniqueness Theorem55
7The Transitivity Theorem55
8The Fitting Subgroup of a Maximal Subgroup61
9The Uniqueness Theorem64
Ch. IIIMaximal Subgroups69
10The Subgroups M[subscript [alpha]] and A[subscript [sigma]]69
11Exceptional Maximal Subgroups80
12The Subgroup E83
13Prime Action97
Ch. IVThe Family of All Maximal Subgroups of G105
14Maximal Subgroups of Type [actual symbol not reproducible] and Counting Arguments105
15The Subgroup M[subscript F]117
16The Main Results123
App. A: Prerequisites and p-Stability135
App. B: The Puig Subgroup139
App. C: The Final Contradiction145
App. D: CN-Groups of Odd Order153
App. E: Further Results of Feit and Thompson157
Bibliography167
List of Symbols169
Index172


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Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series), In 1963 Walter Feit and John G. Thompson published a proof of a 1911 conjecture by Burnside that every finite group of odd order is solvable. This proof, which ran for 255 pages, was a tour-de-force of mathematics and inspired intense effort to classify f, Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series)

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Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series), In 1963 Walter Feit and John G. Thompson published a proof of a 1911 conjecture by Burnside that every finite group of odd order is solvable. This proof, which ran for 255 pages, was a tour-de-force of mathematics and inspired intense effort to classify f, Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series)

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Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series), In 1963 Walter Feit and John G. Thompson published a proof of a 1911 conjecture by Burnside that every finite group of odd order is solvable. This proof, which ran for 255 pages, was a tour-de-force of mathematics and inspired intense effort to classify f, Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series)

Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series)

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