  The study of group knowledge concepts such as mutual, common, and distributed
knowledge is well established within the discipline of epistemic logic. In this
work, we incorporate epistemic abilities of agents to refine the formal
definition of distributed knowledge and introduce a formal characterization of
field knowledge. We propose that field knowledge serves as a dual to
distributed knowledge. Our approach utilizes epistemic logics with various
group knowledge constructs, interpreted through weighted models. We delve into
the eight logics that stem from these considerations, explore their relative
expressivity and develop sound and complete axiomatic systems.
