Geodesic
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, Tome 6 (2023) no. 6, pp. 1519-1531

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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 .

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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
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Almost all wreath product character values are divisible by given primes},
     journal = {Algebraic Combinatorics},
     pages = {1519--1531},
     publisher = {The Combinatorics Consortium},
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     doi = {10.5802/alco.313},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/alco.313/}
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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, Tome 6 (2023) no. 6, pp. 1519-1531. doi: 10.5802/alco.313

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