Semi-topological Galois Theory
Keyword(s):
We introduce splitting coverings to enhance the well known analogy between field extensions and covering spaces. Semi-topological Galois groups are defined for Weierstrass polynomials and a Galois correspondence is proved. Combining results from braid groups, we solve the topological inverse Galois problem. As an application, symmetric and cyclic groups are realized over ℚ.
2015 ◽
Vol 16
(1)
◽
pp. 59-119
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1985 ◽
Vol 17
(5)
◽
pp. 490-491
2014 ◽
Vol 17
(1)
◽
pp. 141-158
◽