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Strong Gelfand subgroups of Z/p wreath S_nJanuary 2021 (has links)
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
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