[過去ﾛｸﾞ] 現代数学の系譜 工学物理雑談 古典ガロア理論も読む78 (1002ﾚｽ)
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468(1): 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE 2019/11/04(月)18:04 ID:Qu1TcOyQ(8/28) AAS
>>467
つづき

1.3. A systematic approach. In §4, we offer a systematic approach,
already started in [Leg13b], to give more examples of non H-parametric
extensions over k of group G containing H. Given a k-regular Galois extension E1/k(T) of group H and a k-regular Galois extension E2/k(T)
of group G, we provide two sufficient conditions which each guarantees
that there exist some specializations of E1/k(T) of group H which cannot be specializations of E2/k(T) (and so E2/k(T) is not H-parametric
省10

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469: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE 2019/11/04(月)18:04 ID:Qu1TcOyQ(9/28) AAS
>>468

つづき

7.3. Some other cases H is a non abelian simple group. We now
give some examples involving some k-regular Galois extensions of k(T)
provided by the rigidity method. We use below standard Atlas [C+85]
notation for conjugacy classes of finite groups.
7.3.1. Examples with PSL2(Fp). Let p ? 5 be a prime such that
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