Final answer:
The correct answer is option C. During telophase, the centromeres do not split apart; this event occurs during anaphase. Telophase involves the reformation of the nuclear envelope, de-condensation of chromosomes into chromatin, cytokinesis beginning, and the nucleolus reappearing.
Step-by-step explanation:
The event that does NOT occur during telophase is C) The centromeres split apart. Telophase is one of the final stages of cell division, specifically mitosis, where the cell prepares to divide into two new cells.
During this phase, several key events take place. The beginning of cytokinesis marks the division of cytoplasm, and the nuclear envelope is reconstructed around each set of chromosomes. Chromosomes also de-condense into less coiled chromatin, and the nucleolus, which had disappeared during earlier stages of mitosis, begins to reform. In contrast, the splitting apart of centromeres happens during an earlier phase called anaphase, where sister chromatids are pulled towards opposite poles of the cell.