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Abelian subgroups of pro-$ 2$ Galois groups

Author: Ido Efrat
Journal: Proc. Amer. Math. Soc. 123 (1995), 1031-1035
MSC: Primary 12F12; Secondary 11E81, 12J10
MathSciNet review: 1242081
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Abstract: Let $ a(K)$ be the maximal cardinality $ \vert I\vert$ such that $ \mathbb{Z}_2^I$ is a closed subgroup of the maximal pro-2 Galois group of a field K. We prove estimates on $ a(K)$ conjectured by Ware.

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Article copyright: © Copyright 1995 American Mathematical Society