Details

Autor(en) / Beteiligte

• SCHAEFFER FRY, A. A.
• TAYLOR, J.

Titel

GALOIS AUTOMORPHISMS AND CLASSICAL GROUPS

Ist Teil von

• Transformation groups, 2023-03, Vol.28 (1), p.439-486

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In a previous work, the second-named author gave a complete description of the action of automorphisms on the ordinary irreducible characters of the finite symplectic groups. We generalise this in two directions. Firstly, using work of the first-named author, we give a complete description of the action of Galois automorphisms on irreducible characters. Secondly, we extend both descriptions to cover the case of special orthogonal groups. As a consequence, we obtain explicit descriptions for the character fields of symplectic and special orthogonal groups.