Abstract
Let p ≥ 5 be a prime and let n be a natural number. In this article, we describe the irreducible constituents of the induced characters φ ↑ Gn for arbitrary linear characters of a Sylow p-subgroup Pn of the symmetric group Gn, generalising results of Giannelli and Law (J. Algebra 506 (2018) 409–428). By doing this, we introduce Sylow branching coefficients for symmetric groups.
| Original language | English |
|---|---|
| Pages (from-to) | 697-728 |
| Number of pages | 32 |
| Journal | Journal of the London Mathematical Society |
| Volume | 103 |
| Issue number | 2 |
| Early online date | 13 Oct 2020 |
| DOIs | |
| Publication status | Published - Mar 2021 |
Keywords
- 20C15
- 20C30 (primary)