We show that if Pm is a Sylow 2-subgroup of the finite symplectic group Sp2m(q), where q is a power of 2, then Pm has irreducible complex characters of degree 2-tqm(m-1)/2, where t is any integer satisfying 0≤t≤[m/2], and that qm(m-1)/2 is the largest possible degree of an irreducible complex character of Pm. We include related results on the degrees of the irreducible characters of a Sylow 2-subgroup of the split special orthogonal group SO+2m(q) when q is a power of 2. © 2001 Academic Press.

Gow, R., Marjoram, M., Previtali, A. (2001). On the irreducible characters of a Sylow 2-subgroup of the finite symplectic group in characteristic 2. JOURNAL OF ALGEBRA, 241(1), 393-409 [10.1006/jabr.2001.8755].

On the irreducible characters of a Sylow 2-subgroup of the finite symplectic group in characteristic 2

PREVITALI, ANDREA
2001

Abstract

We show that if Pm is a Sylow 2-subgroup of the finite symplectic group Sp2m(q), where q is a power of 2, then Pm has irreducible complex characters of degree 2-tqm(m-1)/2, where t is any integer satisfying 0≤t≤[m/2], and that qm(m-1)/2 is the largest possible degree of an irreducible complex character of Pm. We include related results on the degrees of the irreducible characters of a Sylow 2-subgroup of the split special orthogonal group SO+2m(q) when q is a power of 2. © 2001 Academic Press.
Articolo in rivista - Articolo scientifico
irreducible characters
English
2001
241
1
393
409
none
Gow, R., Marjoram, M., Previtali, A. (2001). On the irreducible characters of a Sylow 2-subgroup of the finite symplectic group in characteristic 2. JOURNAL OF ALGEBRA, 241(1), 393-409 [10.1006/jabr.2001.8755].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/49011
Citazioni
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 10
Social impact