Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 493-505 |
| Seitenumfang | 13 |
| Fachzeitschrift | Journal of the London Mathematical Society |
| Jahrgang | 73 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - Apr. 2006 |
Abstract
We investigate the problem of finding a set of prime divisors of the order of a finite group, such that no two irreducible characters are in the same p-block for all primes p in the set. Our main focus is on the simple and quasi-simple groups. For results on the alternating and symmetric groups and their double covers, some combinatorial results on the cores of partitions are proved, which may be of independent interest. We also study the problem for groups of Lie type. The sporadic groups (and their relatives) are checked using GAP.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
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in: Journal of the London Mathematical Society, Jahrgang 73, Nr. 2, 04.2006, S. 493-505.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Separating characters by blocks
AU - Bessenrodt, Christine
AU - Malle, Gunter
AU - Olsson, Jørn B.
PY - 2006/4
Y1 - 2006/4
N2 - We investigate the problem of finding a set of prime divisors of the order of a finite group, such that no two irreducible characters are in the same p-block for all primes p in the set. Our main focus is on the simple and quasi-simple groups. For results on the alternating and symmetric groups and their double covers, some combinatorial results on the cores of partitions are proved, which may be of independent interest. We also study the problem for groups of Lie type. The sporadic groups (and their relatives) are checked using GAP.
AB - We investigate the problem of finding a set of prime divisors of the order of a finite group, such that no two irreducible characters are in the same p-block for all primes p in the set. Our main focus is on the simple and quasi-simple groups. For results on the alternating and symmetric groups and their double covers, some combinatorial results on the cores of partitions are proved, which may be of independent interest. We also study the problem for groups of Lie type. The sporadic groups (and their relatives) are checked using GAP.
UR - http://www.scopus.com/inward/record.url?scp=33646353215&partnerID=8YFLogxK
U2 - 10.1112/S0024610705022556
DO - 10.1112/S0024610705022556
M3 - Article
AN - SCOPUS:33646353215
VL - 73
SP - 493
EP - 505
JO - Journal of the London Mathematical Society
JF - Journal of the London Mathematical Society
SN - 0024-6107
IS - 2
ER -