The Adams Conjecture was formulated to “bound above” a certain group J(X), which was a basic and important step in Adams' work on J(X). Quillen’s proof of the conjecture spawned several ideas central to his invention of higher K-groups. In this talk, we will present how Quillen extended the ideas and techniques from the conjecture to compute the cohomology of general linear groups over finite fields and the K-theory of finite fields.