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- W1990640070 abstract "We prove that two arithmetically significant extensions of a field F coincide if and only if the Witt ring WF is a group ring Z / n [ G ]. Furthermore, working modulo squares with Galois groups which are 2-groups, we establish a theorem analogous to Hilbert's Theorem 90 and show that an identity linking the cohomological dimension of the Galois group of the quadratic closure of F , the length of a filtration on a certain module over a Galois group, and the dimension over F 2 of the square class group of the field holds for a number of interesting families of fields. Finally, we discuss the cohomology of a particular Galois group in a topological context." @default.
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- W1990640070 date "2001-01-01" @default.
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- W1990640070 title "Field Theory and the Cohomology of Some Galois Groups" @default.
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- W1990640070 doi "https://doi.org/10.1006/jabr.2000.8481" @default.
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