President Donald Trump is unlikely to nominate Gary Cohn, his top economic adviser, as the next Federal Reserve chairman, indicating that he is open to considering additional names for a pick he has said he would like to make by year's end, according to people familiar with the president's thinking.

This shift inside the Oval Office was largely due to Mr. Cohn's reaction to Mr. Trump's response to the violence in Charlottesville, Va., in which the president at times blamed both white supremacists opposing the removal of a Confederate war statue and counterprotesters.

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