Abstract
It is well known that every locally compact group admits a (one sided) translation invariant Haar measure. Applications of the Haar measure in algebraic number theory to local fields and adelic groups appear in [CF, Chap. II] and [We7]. Here we use it to investigate absolute Galois groups of fields. Since these groups are compact the Haar measure is two sided invariant. We provide a direct proof of the existence and uniqueness of the Haar measure of profinite groups (Sections 16.1 and 16.2).
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© 1986 Springer-Verlag Berlin Heidelberg
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Fried, M.D., Jarden, M. (1986). The Haar Measure. In: Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07216-5_16
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DOI: https://doi.org/10.1007/978-3-662-07216-5_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-07218-9
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