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Strong Gelfand subgroups of Z/p wreath S_n

archives@tulane.edu / The multiplicity-free subgroups (strong Gelfand subgroups) of wreath products are investigated. Various useful reduction arguments are presented. In particular, for any finite group G and its normal subgroup K, if G/K is isomorphic to a cyclic group and its order is a multiplicity free integer, then (G,K) is a strong Gelfand pair. Furthermore, we classify all multiplicity-free subgroups of Z/p wreath S_n when n>6. Along the way, we derive various decomposition formulas from some special subgroups of Z/p wreath S_n when n>6. / 1 / Yiyang She

  1. tulane:121995
Identiferoai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_121995
Date January 2021
ContributorsShe, Yiyang She (author), Can, Mahir (Thesis advisor), School of Science & Engineering Mathematics (Degree granting institution)
PublisherTulane University
Source SetsTulane University
LanguageEnglish
Detected LanguageEnglish
TypeText
Formatelectronic, pages:  60
RightsNo embargo, Copyright is in accordance with U.S. Copyright law.

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