Divisibility of character values of the symmetric group by prime powers
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913676862160896 |
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| author | Peluse, Sarah Soundararajan, Kannan |
| author_facet | Peluse, Sarah Soundararajan, Kannan |
| contents | Proving a conjecture of Miller, we show that as $n$ tends to infinity almost all entries in the character table of $S_n$ are divisible by any given prime power. This extends our earlier work which treated divisibility by primes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_02203 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Divisibility of character values of the symmetric group by prime powers Peluse, Sarah Soundararajan, Kannan Combinatorics Number Theory Representation Theory Proving a conjecture of Miller, we show that as $n$ tends to infinity almost all entries in the character table of $S_n$ are divisible by any given prime power. This extends our earlier work which treated divisibility by primes. |
| title | Divisibility of character values of the symmetric group by prime powers |
| topic | Combinatorics Number Theory Representation Theory |
| url | https://arxiv.org/abs/2301.02203 |