Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 353-378 |
Seitenumfang | 26 |
Fachzeitschrift | Journal of algebra |
Jahrgang | 470 |
Frühes Online-Datum | 15 Sept. 2016 |
Publikationsstatus | Veröffentlicht - 15 Jan. 2017 |
Abstract
We prove that the alternating groups of degree at least 5 are uniquely determined up to an abelian direct factor by the set of degrees of their irreducible complex representations. This confirms Huppert's Conjecture for alternating groups.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Journal of algebra, Jahrgang 470, 15.01.2017, S. 353-378.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Huppert's Conjecture for alternating groups
AU - Bessenrodt, Christine
AU - Tong-Viet, Hung P.
AU - Zhang, Jiping
PY - 2017/1/15
Y1 - 2017/1/15
N2 - We prove that the alternating groups of degree at least 5 are uniquely determined up to an abelian direct factor by the set of degrees of their irreducible complex representations. This confirms Huppert's Conjecture for alternating groups.
AB - We prove that the alternating groups of degree at least 5 are uniquely determined up to an abelian direct factor by the set of degrees of their irreducible complex representations. This confirms Huppert's Conjecture for alternating groups.
KW - Alternating groups
KW - Character degrees
KW - Huppert's Conjecture
UR - http://www.scopus.com/inward/record.url?scp=84988811653&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2016.09.012
DO - 10.1016/j.jalgebra.2016.09.012
M3 - Article
AN - SCOPUS:84988811653
VL - 470
SP - 353
EP - 378
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
ER -