Wenfeng Gao, David B. Leep, Jan Minac, Tara L. Smith  Home/Search
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Abstract: . Let F be a field with char F 6= 2. We show that F is a nonrigid field if and only if certain small 2-groups occur as Galois groups over F . These results provide new "automatic realizability" results for Galois groups over F . The groups we consider demonstrate the inequality of two particular metabelian 2-extensions of F which are unequal precisely when F is a nonrigid field. Using known results on connections between rigidity and existence of certain valuations, we obtain... (Update)
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BibTeX entry: (Update)
@misc{ gao-galois,
author = "Wenfeng Gao and David B. Leep and Jan Minac and Tara L. Smith",
title = "Galois Groups Over Nonrigid Fields",
url = "citeseer.ist.psu.edu/437561.html" }
Citations (may not include all citations):38 The Algebraic Theory of Quadratic Forms (context) - Lam - 1980
3 Field theory and the cohomology of some Galois groups (context) - Adem, Gao et al.
3 University of Western Ontario (context) - Gao, Thesis - 1996
2 Automatic realizability of Galois groups of order (context) - Grundman, Smith - 1996
2 Groups of order 16 as Galois groups (context) - Grundman, Smith et al. - 1995
2 rigid fields and Pythagorean fields (context) - Leep, Smith et al.
2 fields via Galois groups (context) - Min'ac, Smith et al. - 1991
2 Witt rings and Galois groups (context) - Min'ac, Spira - 1996
2 Merkurjev's elementary proof of Merkurjev's Theorem (context) - Wadsworth - 1986
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