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dc.contributor.authorBecker, Paul
dc.contributor.authorDerka, Martin
dc.contributor.authorHoughten, Sheridan
dc.contributor.authorUlrich, Jennifer
dc.date.accessioned2022-11-03T15:14:45Z
dc.date.available2022-11-03T15:14:45Z
dc.date.issued2017-04
dc.identifier.citationPaul E. Becker, Martin Derka, Sheridan Houghten & Jennifer Ulrich (2017) Build a Sporadic Group in Your Basement, The American Mathematical Monthly, 124:4, 291-305en_US
dc.identifier.issn1930-0972
dc.identifier.urihttp://hdl.handle.net/10464/16881
dc.description.abstractAll simple finite groups are classified as members of specific families. With one exception, these families are infinite collections of groups sharing similar structures. The exceptional family of sporadic groups contains exactly twenty-six members. The five Mathieu groups are the most accessible of these sporadic cases. In this article, we explore connections between Mathieu groups and error-correcting communication codes. These connections permit simple, visual representations of the three largest Mathieu groups: M24, M23, and M22. Along the way, we provide a brief, nontechnical introduction to the field of coding theory.en_US
dc.publisherMAAen_US
dc.titleBuild a Sporadic Group in your Basementen_US
dc.typeArticleen_US
dc.identifier.doi10.4169/amer.math.monthly.124.4.291
refterms.dateFOA2022-11-03T15:14:46Z


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