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
| Identifer | oai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_121995 |
| Date | January 2021 |
| Contributors | She, Yiyang She (author), Can, Mahir (Thesis advisor), School of Science & Engineering Mathematics (Degree granting institution) |
| Publisher | Tulane University |
| Source Sets | Tulane University |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | electronic, pages: 60 |
| Rights | No embargo, Copyright is in accordance with U.S. Copyright law. |
Page generated in 0.0018 seconds