On prefixal factorizations of words

Aldo de Luca, Luca Q. Zamboni

We consider the class ${\mathcal{P}}_1$ of all infinite words $x\in A^{\omega }$ over a finite alphabet $A$ admitting a prefixal factorization, i.e., a factorization $x=U_0{U}_1{U}_2\cdots$ whe…