The novel opens by introducing the dissolute patriarch Fyodor Karamazov and his three very different sons — passionate Dmitri, intellectual Ivan, and devout Alyosha — along with the rivalry over both money and a woman, Grushenka, that will drive the murder plot at the novel's center.

Key relationships established in the opening:

• Dmitri and his father are locked in bitter conflict over inheritance and their shared romantic pursuit of Grushenka, establishing the most direct motive for the murder that follows
• Ivan's intellectual detachment and skepticism, contrasted with Alyosha's spiritual devotion under the monk Zosima, establish the novel's central philosophical axis between doubt and faith
• The suggestion of a fourth, illegitimate son, Smerdyakov, working as a servant in the household, is introduced early and becomes crucial to the novel's eventual resolution

This opening establishes both the concrete family drama and the deeper philosophical tensions the murder investigation will draw out across the rest of the novel.