Covering numbers for characters of symmetric groups
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915191910825984 |
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| author | Miller, Alexander R. |
| author_facet | Miller, Alexander R. |
| contents | If $n>4$ and $c(θ)$ denotes the set of irreducible constituents of a character $θ$, then $c(χ^k)={\rm Irr}(S_n)$ for all nonlinear $χ\in {\rm Irr}(S_n)$ if and only if $k\geq n-1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_05643 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Covering numbers for characters of symmetric groups Miller, Alexander R. Representation Theory Group Theory If $n>4$ and $c(θ)$ denotes the set of irreducible constituents of a character $θ$, then $c(χ^k)={\rm Irr}(S_n)$ for all nonlinear $χ\in {\rm Irr}(S_n)$ if and only if $k\geq n-1$. |
| title | Covering numbers for characters of symmetric groups |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2301.05643 |