Biography of Daniel Gorenstein () His involvement in the classification of finite simple groups began in the year when he attended the. Daniel E. Gorenstein (January 1, – August 26, ) was an American mathematician. Gorenstein was awarded many honors for his work on finite simple groups. He was recognised, in addition to his own research contributions such. Gorenstein, Daniel. Classifying the finite simple groups. Bull. Amer. Math. Soc. ( N.S.) 14 (), no. 1,
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Gorenstein : Classifying the finite simple groups
Description The theory of finite simple groups enjoyed a period of spectacular activity in the s and s. The first edition of Gorenstein’s book was published inat the time of some of the first major classification results.
The second edition was published inwhen it was clear that the classification was understood and the proof was within reach. Gorenstein’s treatment of the subject proved prescient, as many of the developments between the two editions could be seen as continuations of the material in the book.
Even now, the book remains one of the best sources for an introduction to finite groups and the classification of the simple groups. Gorenstein’s insight provides a guiding light through the many pages that have been dedicated to the proof.
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Lectures on Ergodic Theory Paul R. Finite Groups Daniel Gorenstein. Table of contents Part I: Fixed-point-free automorphisms The Hall-Higman theorem Groups with generalized quaternion Sylow 2-subgroups Zassenhaus groups Groups in which centralizers are nilpotent Groups with self-centralizing Sylow 2-subgroups of order 4 Part III: Simple groups of low rank The knwon simple groups Bibliography List of symbols Index.
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