To dissolve something is to break it up or weaken it, making it no longer recognizable. You could dissolve your book club or you could even dissolve a pill by dropping it into a glass of water.
You can use the verb dissolve to describe things that are coming apart or diminishing. Dissolve goes back to the Latin root dissolvere, meaning "to loosen," and it came into English in the 14th century. Physical objects dissolve, as when bubbles dissolve in the tub or a cube of sugar will dissolve in hot tea, and intangible, or non-physical, things can fade away too: "Their friendship started to dissolve when he moved across country and they communicated less frequently."