Erdős-Ginzburg-Ziv theorem and Noether number for $C_m{⋉}_{\phi }{C}_{mn}$

Dongchun Han, Hanbin Zhang

Let $G$ be a multiplicative finite group and $S=a_1\cdot \dots \cdot a_k$ a sequence over $G$. We call $S$ a product-one sequence if $1={\prod }_{i=1}^k{a}_{\tau (i)}$ holds for some permuta…