Symmetric groups and conjugacy classes
| dc.creator | Adan-Bante, Edith | |
| dc.creator | Verrill, Helena | |
| dc.date | 2007-08-01 | |
| dc.date.accessioned | 2026-07-07T08:21:50Z | |
| dc.date.available | 2026-07-07T08:21:50Z | |
| dc.description | Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial $α,β\in S_n$, we prove that the product $α^{S_n}β^{S_n}$ of the conjugacy classes $α^{S_n}$ and $β^{S_n}$ is never a conjugacy class. Furthermore, if n is not even and $n$ is not a multiple of three, then $α^{S_n}β^{S_n}$ is the union of at least three distinct conjugacy classes. We also describe the elements $α,β\in S_n$ in the case when $α^{S_n}β^{S_n}$ is the union of exactly two distinct conjugacy classes. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0708.0225 | |
| dc.identifier | http://arxiv.org/abs/0708.0225 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135449 | |
| dc.subject | Group Theory | |
| dc.subject | 20b30 | |
| dc.title | Symmetric groups and conjugacy classes | |
| dc.type | text |