arXiv Open Access 2024

Sylow branching trees for symmetric groups

Eugenio Giannelli Stacey Law

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Abstrak

Let $p\ge 5$ be a prime and let $P$ be a Sylow $p$-subgroup of a finite symmetric group. To every irreducible character of $P$ we associate a collection of labelled, complete $p$-ary trees. The main results of this article describe Sylow branching coefficients for symmetric groups for all irreducible characters of $P$ in terms of some combinatorial properties of these trees, extending previous work on the linear characters of $P$.

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Penulis (2)

Eugenio Giannelli

Stacey Law

Format Sitasi

APA MLA BibTeX

Giannelli, E., Law, S. (2024). Sylow branching trees for symmetric groups. https://arxiv.org/abs/2409.07575

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓