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Abelian Extensions and a Cohomology Theory of Harrison

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Abstract

Let k be a field, K be a separable closure of k, and П be the group of all automorphisms of K leaving k pointwise fixed. П is a compact, totally disconnected group in the topology for which a neighborhood base at the identity is the set of subgroups of П which correspond, via the fundamental theorem of Galois theory, to the finite separable extensions of k.

Written with the support of National Science Foundation Grant GP 3665.

Received September 13, 1965.

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© 1966 Springer-Verlag Berlin · Heidelberg

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Chase, S.U. (1966). Abelian Extensions and a Cohomology Theory of Harrison. In: Eilenberg, S., Harrison, D.K., MacLane, S., Röhrl, H. (eds) Proceedings of the Conference on Categorical Algebra. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-99902-4_20

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  • DOI: https://doi.org/10.1007/978-3-642-99902-4_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-99904-8

  • Online ISBN: 978-3-642-99902-4

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