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单词 ShafarevichsTheorem
释义

Shafarevich’s theorem


Theorem (Shafarevich’s Theorem).

Every finite solvable groupMathworldPlanetmath occurs as a Galois groupMathworldPlanetmath of a finite extensionMathworldPlanetmath of Q.

One can find a proof in [S-W].

References

  • S-W Alexander Schmidt and Kay Wingberg, http://www.math.uiuc.edu/Algebraic-Number-Theory/0136/Shafarevich’s Theorem on Solvable Groups as Galois Groups.
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更新时间:2025/5/4 21:25:24