From error-correcting codes through sphere packings to simple groups /

Saved in:
Bibliographic Details
Author / Creator:Thompson, Thomas M., author.
Imprint:[Washington] : Mathematical Association of America, ©1983.
Description:1 online resource (xiv, 228 pages) : illustrations
Language:English
Series:The Carus mathematical monographs ; no. 21
Carus mathematical monographs ; no. 21.
Subject:Error-correcting codes (Information theory)
Finite simple groups.
Codes correcteurs d'erreurs (Théorie de l'information)
Groupes simples finis
MATHEMATICS -- Algebra -- Intermediate.
Error-correcting codes (Information theory)
Finite simple groups.
Einfache Gruppe
Fehlerkorrekturcode
Geschichte
Kugelpackung
Electronic books.
Electronic books
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11233081
Hidden Bibliographic Details
ISBN:9781614440215
1614440212
0883850230
9780883850237
0883850001
9780883850008
0883850370
9780883850374
9780883850282
Notes:Includes bibliographical references (pages 217-223) and index.
Restrictions unspecified
Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
digitized 2010 HathiTrust Digital Library committed to preserve
Print version record.
Other form:Print version: Thompson, Thomas M. From error-correcting codes through sphere packings to simple groups. [Washington] : Mathematical Association of America, ©1983
Description
Summary:This book traces a remarkable path of mathematical connections through seemingly disparate topics. Frustrations with a 1940's electro-mechanical computer at a premier research laboratory begin this story. Subsequent mathematical methods of encoding messages to ensure correctness when transmitted over noisy channels led to discoveries of extremely efficient lattice packings of equal-radius balls, especially in 24-dimensional space. In turn, this highly symmetric lattice, with each point neighbouring exactly 196,560 other points, suggested the possible presence of new simple groups as groups of symmetries. Indeed, new groups were found and are now part of the 'Enormous Theorem' - the classification of all simple groups whose entire proof runs to some 10,000+ pages. And these connections, along with the fascinating history and the proof of the simplicity of one of those 'sporadic' simple groups, are presented at an undergraduate mathematical level.
Physical Description:1 online resource (xiv, 228 pages) : illustrations
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages 217-223) and index.
ISBN:9781614440215
1614440212
0883850230
9780883850237
0883850001
9780883850008
0883850370
9780883850374
9780883850282