Abstract
Let G be a cyclic group of order pq,where q|p-1,q,p are prime numbers and let F be a field of characteristic p.Let V be a finite-dimensional G-module over F.We refer to the maximal degree of indecomposable polynomials in the invariant algebra F[V]G as the Noether number of the invariant algebra F[V]G,denoted β(F[V]G).In this paper,we determine the Noether number of the invariant algebra F[V]G.Furthermore,we prove that for such a cyclic group of order pq,Wehlau's conjecture holds.
基金项目
Natural Science Foundation for Young Scientists of China(12101375)
Foundation for Young Scientists of Shanxi Province(201901D211184)
NETL
NSTL
万方数据