Knop F (2004)
Publication Language: English
Publication Type: Book chapter / Article in edited volumes
Publication year: 2004
Publisher: AMS
Edited Volumes: Invariant Theory in All Characteristics
Series: CRM Proceedings & Lecture Notes
City/Town: Providence, RI
Book Volume: 35
Pages Range: 175-188
Conference Proceedings Title: Invariant Theory in All Characteristics
In this note we generalize several well known results concerning invariants of finite groups from characteristic zero to positive characteristic not dividing the group order. The first is Schmid's relative version of Noether's theorem. That theorem compares the degrees of generators of a group with those of a subgroup. Then we prove a suitable positive characteristic version of Weyl's theorem on vector invariants: polarization works in small degrees. Using that we show that the regular representation has the "most general" ring of invariants, thereby generalizing theorems of Schmid and Smith.
APA:
Knop, F. (2004). On Noether's and Weyl's bound in positive characteristic. In E. Campbell, D. Wehlau (Eds.), Invariant Theory in All Characteristics. (pp. 175-188). Providence, RI: AMS.
MLA:
Knop, Friedrich. "On Noether's and Weyl's bound in positive characteristic." Invariant Theory in All Characteristics. Ed. E. Campbell, D. Wehlau, Providence, RI: AMS, 2004. 175-188.
BibTeX: Download