ALGEBRAIC COMBINATORICS

no. 6
Almost all wreath product character values are divisible by given primes
Dong, Brandon1; Graff, Hannah2; Mundinger, Joshua3; Rothstein, Skye4; Vescovo, Lola5
1 Carnegie Mellon University Pittsburgh PA
2 Creighton University Omaha NE
3 University of Chicago Chicago IL
4 Bard College Annandale-on-Hudson NY
5 Macalester College Saint Paul MN
Algebraic Combinatorics, Volume 6 (2023) no. 6, pp. 1519-1531.

For a finite group G with integer-valued character table and a prime p, we show that almost every entry in the character table of G≀S N is divisible by p as N→∞. This result generalizes the work of Peluse and Soundararajan on the character table of S N .

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.313
Classification: 20C15, 05E10
Dong, Brandon 1; Graff, Hannah 2; Mundinger, Joshua 3; Rothstein, Skye 4; Vescovo, Lola 5

1 Carnegie Mellon University Pittsburgh PA
2 Creighton University Omaha NE
3 University of Chicago Chicago IL
4 Bard College Annandale-on-Hudson NY
5 Macalester College Saint Paul MN
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Dong, Brandon; Graff, Hannah; Mundinger, Joshua; Rothstein, Skye; Vescovo, Lola. Almost all wreath product character values are divisible by given primes. Algebraic Combinatorics, Volume 6 (2023) no. 6, pp. 1519-1531. doi : 10.5802/alco.313. https://alco.centre-mersenne.org/articles/10.5802/alco.313/

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