Carter grabbed five rebounds while Early had 16 points and 10 rebounds for the unbeaten Shockers (12-0), who extended the best start in school history.
Ron Baker put in 15 points and Fred VanVleet supplied 14, eight assists and six rebounds for Wichita State.
The Eagles (7-3) got 37 points from Jeremy Ingram, who went 7-of-13 from 3-point range.
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