| Autor: |
Aragona, Riccardo, Civino, Roberto, Gavioli, Norberto, Scoppola, Carlo Maria |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Discrete Mathematics Letters, 2022, 8, pp. 72-77 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.47443/DML.2021.0109 |
| Popis: |
In a recent paper on a study of the Sylow 2-subgroups of the symmetric group with 2^n elements it has been show that the growth of the first (n-2) consecutive indices of a certain normalizer chain is linked to the sequence of partitions of integers into distinct parts. Unrefinable partitions into distinct parts are those in which no part x can be replaced with integers whose sum is x obtaining a new partition into distinct parts. We prove here that the (n-1)-th index of the previously mentioned chain is related to the number of unrefinable partitions into distinct parts satisfying a condition on the minimal excludant. |
| Databáze: |
arXiv |
| Externí odkaz: |
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