Details
| Original language | English |
|---|---|
| Pages (from-to) | 361-365 |
| Number of pages | 5 |
| Journal | Archiv der Mathematik |
| Volume | 114 |
| Issue number | 4 |
| Early online date | 15 Nov 2019 |
| Publication status | Published - Apr 2020 |
Abstract
For an arbitrary prime p, we prove that the proportion of entries divisible by p in certain columns of the character table of the symmetric group S n tends to 1 as n→ ∞. This is done by finding lower bounds on the number of k-cores for k large enough with respect to n.
Keywords
- Character values, Core partitions, Symmetric group
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Archiv der Mathematik, Vol. 114, No. 4, 04.2020, p. 361-365.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On divisibility by primes in columns of character tables of symmetric groups
AU - Morotti, Lucia
N1 - Funding Information: The author thanks Alexander Miller for bringing this problem to her attention and for some discussion. The author was supported by the DFG Grant MO 3377/1-1. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
PY - 2020/4
Y1 - 2020/4
N2 - For an arbitrary prime p, we prove that the proportion of entries divisible by p in certain columns of the character table of the symmetric group S n tends to 1 as n→ ∞. This is done by finding lower bounds on the number of k-cores for k large enough with respect to n.
AB - For an arbitrary prime p, we prove that the proportion of entries divisible by p in certain columns of the character table of the symmetric group S n tends to 1 as n→ ∞. This is done by finding lower bounds on the number of k-cores for k large enough with respect to n.
KW - Character values
KW - Core partitions
KW - Symmetric group
UR - http://www.scopus.com/inward/record.url?scp=85075237950&partnerID=8YFLogxK
U2 - 10.1007/s00013-019-01407-5
DO - 10.1007/s00013-019-01407-5
M3 - Article
VL - 114
SP - 361
EP - 365
JO - Archiv der Mathematik
JF - Archiv der Mathematik
SN - 0003-889X
IS - 4
ER -