Noether's bound for polynomial invariants of finite groups

被引：19

作者：

Domokos, M

Hegedüs, P

机构：

[1] Hungarian Acad Sci, Inst Math, H-1364 Budapest, Hungary

[2] Eotvos Lorand Univ, Dept Algebra & Number Theory, H-1088 Budapest, Hungary

来源：

ARCHIV DER MATHEMATIK | 2000年 / 74卷 / 03期

关键词：

Finite Group; Cyclic Group; Prime Order; Polynomial Algebra; Polynomial Invariant;

D O I：

10.1007/s000130050426

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group acting linearly on the polynomial algebra C[V]. We prove that if G is the semi-direct product of cyclic groups of odd prime order, then the algebra of polynomial invariants is generated by its elements whose degree is bounded by 5/8\G\. As a consequence we derive that C[V](G) is generated by elements of degree less than or equal to 3/4\G\ for any non-cyclic group G. This sharpens the improved bound for Noether's Theorem due to Schmid.

引用

页码：161 / 167

页数：7