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Some results on \(\mathbb{Q}\)-groups. (English) Zbl 1184.20008
A finite group is called a \(\mathbb{Q}\)-group if all its irreducible characters have rational values. The authors deal with some special classes of finite \(\mathbb{Q}\)-groups. In particular, they characterize the finite \(\mathbb{Q}\)-groups with a strongly embedded subgroup and the finite \(\mathbb{Q}\)-groups with none of their sections isomorphic to the symmetric group \(\mathbb{S}_4\).
20C15 Ordinary representations and characters
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