Frobenius q-groups and 2-transitive frobenius q-groups
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CitationErkoç, T. ve Güzel, E. (2009). Frobenius q-groups and 2-transitive frobenius q-groups. Maltepe Üniversitesi. s. 371.
A finite group whose complex characters are rationally-valued is called a Q-group. For example, all of the symmetric groups and finite elemantary abelian 2-groups are Q-groups. The property of being a Q-group is characterized by saying that the generators of every cyclic subgroup are conjugate. Depending upon the group, by using this characterization, it may be easier to say that the group is a Q-group or not. Kletzing’s lecture notes present a detailed investigation into the structure of Q-groups. In group theory, general classification of Q-groups has not been able to be done up to now, but some special Q- groups have been classified. In this study, we find the structure of Frobenius Q-groups with a new proof and all 2-transitive Frobenius Q-groups.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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