Bilinear forms for SL(2,q), An and similar groups

Autores: Alexandre Turull
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 2, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 1001-1010
Idioma: inglés
DOI: 10.5565/publmat_362b92_17
Títulos paralelos:
- Formas bilineales para SL(2,q), An y grupos similares
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Resumen
- The set of invariant symmetric bilinear forms on irreducible modules over fields of characteristic zero for certain groups is studied. Results are obtained under the presence in a finite group of elements of order four whose square is central. In particular, we find that the relevant modules for the groups mentioned in the title always accept an invariant symmetric bilinear form under which the module admits an orthonormal basis.