Abstract
This chapter reproduces with little change the approach to local class field theory given by Lubin-Tate [L-T]. Using special power series associated with prime elements in a p-adic field, they construct maximal abelian totally ramified extensions by means of torsion points on formal groups, thus obtaining a merging of class field theory and Kummer theory by means of these groups.
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© 1978 Springer-Verlag, New York Inc.
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Lang, S. (1978). Lubin-Tate Theory. In: Cyclotomic Fields. Graduate Texts in Mathematics, vol 59. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9945-5_8
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DOI: https://doi.org/10.1007/978-1-4612-9945-5_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9947-9
Online ISBN: 978-1-4612-9945-5
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