Isogenies of prime degree over number fields
Fumiyuki Momose (1995)
Compositio Mathematica
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Fumiyuki Momose (1995)
Compositio Mathematica
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Kiyoaki Iimura (1984)
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In the [16] has been proven that the multiplicative group Z/pZ* is a cyclic group. Likewise, finite subgroup of the multiplicative group of a field is a cyclic group. However, finite subgroup of the multiplicative group of a field being a cyclic group has not yet been proven. Therefore, it is of importance to prove that finite subgroup of the multiplicative group of a field is a cyclic group.Meanwhile, in cryptographic system like RSA, in which security basis depends upon the difficulty...
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