According to Miller's biographical note, what sorts of conflict surrounds the Putnams?
According to the biographical note, there is all kinds of conflict with the Putnams. This is largely because Thomas Putnam is an "embittered" man who feels that the town does not respect him as much as it should.
He has conflicts with various people about various things. He is angry at the town in general for having turned down his suggestion about who should be the next minister for example. Because he is rich, he feels he should have a lot of say in such matters.
Because of all his grievances, he is often involved in accusing other people of witchcraft. The implication is that he is doing it to get back at his enemies.
The Thomas Putnam family also struggled with land complications and the observance of the father's will. Their land issue was with the Nurse family and the issue of the will was simply a dispute between brothers. These conflicts all tell us something about the Putnams, Thomas in particular. He does what he can with what he has (money) to manipulate others to get his way.
Putnams represent the provocation of evil in this piece. They are accusers, and often only accuse innocents because that is who they are pitted against.