Abstract
The result of this note is as follows. If a finite solvable group has an element of order m, then the group has an irreducible character whose codegree contains all prime divisors of m.
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This work was supported by NSF of China (No.10871032).
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Qian, G. A note on element orders and character codegrees. Arch. Math. 97, 99–103 (2011). https://doi.org/10.1007/s00013-011-0278-6
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DOI: https://doi.org/10.1007/s00013-011-0278-6