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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 $$\mathbb{S}_4$$.
##### MSC:
 20C15 Ordinary representations and characters
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##### References:
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