Details
| Originalsprache | Englisch |
|---|---|
| Publikationsstatus | Elektronisch veröffentlicht (E-Pub) - 23 Sept. 2021 |
Abstract
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2021.
Publikation: Arbeitspapier/Preprint › Preprint
}
TY - UNPB
T1 - Alternating sums over pi-subgroups
AU - Navarro, Gabriel
AU - Sambale, Benjamin
N1 - 8 pages
PY - 2021/9/23
Y1 - 2021/9/23
N2 - Dade's conjecture predicts that if p is a prime, then the number of irreducible characters of a finite group of a given p-defect is determined by local subgroups. In this paper we replace \(p\) by a set of primes pi and prove a pi-version of Dade's conjecture for pi-separable groups. This extends the (known) p-solvable case of the original conjecture and relates to a pi-version of Alperin's weight conjecture previously established by the authors.
AB - Dade's conjecture predicts that if p is a prime, then the number of irreducible characters of a finite group of a given p-defect is determined by local subgroups. In this paper we replace \(p\) by a set of primes pi and prove a pi-version of Dade's conjecture for pi-separable groups. This extends the (known) p-solvable case of the original conjecture and relates to a pi-version of Alperin's weight conjecture previously established by the authors.
KW - math.RT
KW - math.GR
M3 - Preprint
BT - Alternating sums over pi-subgroups
ER -