The phase retrieval problem arises naturally in different applications, such as crystallography and signal processing. Regardless of its various implementations, this topic has become a very active area of research, receiving significant attention from diverse areas in mathematics – although almost exclusively in the case where the underlying space is Rᵈ. In this talk we will show that STFT phase retrieval is possible for a large class of locally compact abelian groups. This is a joint work with N. Accommazzo, D. Carando, R. Nores and V. Paternostro.