Report
Almost all wreath product character values are divisible by given primes
| العنوان: | Almost all wreath product character values are divisible by given primes |
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| المؤلفون: | Dong, Brandon, Graff, Hannah, Mundinger, Joshua, Rothstein, Skye, Vescovo, Lola |
| المصدر: | Algebraic Combinatorics, Volume 6 (2023) no. 6, pp. 1519-1531 |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Combinatorics, Mathematics - Group Theory, 20C15 (Primary), 05E10 (Secondary) |
| الوصف: | 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 $G \wr S_N$ is divisible by $p$ as $N \to \infty$. This result generalizes the work of Peluse and Soundararajan on the character table of $S_N$. Comment: v2: minor edits. 15 pages, 4 figures. Comments welcome |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.5802/alco.313 |
| URL الوصول: | http://arxiv.org/abs/2210.07261 |
| رقم الانضمام: | edsarx.2210.07261 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.5802/alco.313 |
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