Characters of groups having fixed-point-free automorphisms of 2-power order

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Characters of groups having fixed-point-free automorphisms of 2-power order

Isaacs, I.M.

Journal of algebra, 02/2011, Volume: 328, Issue: 1

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Let C be a cyclic 2-group that acts fixed-point-freely on a group K, and let T ⊆ C be the subgroup of index 2. The main result of this paper is that the square-free parts of the degrees of the T-invariant irreducible characters of K are never divisible by primes p ≡ − 1 mod | C | .

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Isaacs, I.M.

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