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Groups generated by two operators of the same prime order such that the conjugates of one under the powers of the other are commutative. - MaRDI portal

Groups generated by two operators of the same prime order such that the conjugates of one under the powers of the other are commutative. (Q1470062)

From MaRDI portal





scientific article; zbMATH DE number 2610119
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English
Groups generated by two operators of the same prime order such that the conjugates of one under the powers of the other are commutative.
scientific article; zbMATH DE number 2610119

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    Groups generated by two operators of the same prime order such that the conjugates of one under the powers of the other are commutative. (English)
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    1917
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    Für jede Primzahl \(p\) gibt es \(p-1\) Gruppen, welche von zwei nicht vertauschbaren Elementen von der Ordnung \(p\) erzeugt werden, die der Bedingungen genügen, daß die \(p\) Transformierten des einen Elementes durch die Potenzen des anderen miteinander vertauschbar sind.
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