Download book Theory of Finite Simple Groups II : Commentary on the Classification Problems
Download book Theory of Finite Simple Groups II : Commentary on the Classification Problems
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Author: Gerhard Michler
Page Count: 746 pages
Published Date: 01 Apr 2010
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
Format: PDF
ISBN: 9780521764919
File size: 20 Mb
File Name: Theory.of.Finite.Simple.Groups.II.Commentary.on.the.Classification.Problems.pdf
Download Link: Theory of Finite Simple Groups II Commentary on the Classification Problems
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This is a coherent explanation for the existence of the 26 known sporadic simple groups originally arising from many unrelated contexts. The given proofs build on the close relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra described in the first volume. The author presents a new algorithm by which 25 sporadic simple groups can be constructed (the smallest Mathieu group M11 can be omitted for theoretical reasons), and demonstrates that it is not restricted to sporadic simple groups. He also describes the constructions of various groups and proves their uniqueness whenever possible. The computational existence proofs are documented in the accompanying DVD. The author also states several open problems related to the theorem asserting that there are exactly 26 groups, and R. Brauer's warning that there may be infinitely many. Some of these problems require new experiments with the author's algorithm.
Read online Theory of Finite Simple Groups II : Commentary on the Classification Problems Buy Theory of Finite Simple Groups II : Commentary on the Classification Problems Download and read Theory of Finite Simple Groups II : Commentary on the Classification Problems for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Theory of Finite Simple Groups II : Commentary on the Classification Problems ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
Theory of Finite Simple Groups II : Commentary on the Classification Problems. Gerhard Michler
Author: Gerhard Michler
Page Count: 746 pages
Published Date: 01 Apr 2010
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
Format: PDF
ISBN: 9780521764919
File size: 20 Mb
File Name: Theory.of.Finite.Simple.Groups.II.Commentary.on.the.Classification.Problems.pdf
Download Link: Theory of Finite Simple Groups II Commentary on the Classification Problems
---------------------------------------------------------------
This is a coherent explanation for the existence of the 26 known sporadic simple groups originally arising from many unrelated contexts. The given proofs build on the close relations between general group theory, ordinary character theory, modular representation theory and algorithmic algebra described in the first volume. The author presents a new algorithm by which 25 sporadic simple groups can be constructed (the smallest Mathieu group M11 can be omitted for theoretical reasons), and demonstrates that it is not restricted to sporadic simple groups. He also describes the constructions of various groups and proves their uniqueness whenever possible. The computational existence proofs are documented in the accompanying DVD. The author also states several open problems related to the theorem asserting that there are exactly 26 groups, and R. Brauer's warning that there may be infinitely many. Some of these problems require new experiments with the author's algorithm.
Read online Theory of Finite Simple Groups II : Commentary on the Classification Problems Buy Theory of Finite Simple Groups II : Commentary on the Classification Problems Download and read Theory of Finite Simple Groups II : Commentary on the Classification Problems for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Theory of Finite Simple Groups II : Commentary on the Classification Problems ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent