Abstract
Galois groups of infinite normal extensions are profinite groups. For this reason we shall start by discussing the general properties of these groups. For the basic material in the theory of topological groups we refer to L.S. Pontryagin [47]. A subgroup of a topological group will always be assumed to be a closed subgroup.
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© 2002 Springer-Verlag Berlin Heidelberg
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Koch, H. (2002). Profinite Groups. In: Galois Theory of p-Extensions. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04967-9_2
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DOI: https://doi.org/10.1007/978-3-662-04967-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07817-0
Online ISBN: 978-3-662-04967-9
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