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Title: | Tame Ramification and Group Cohomology |
Authors: | Chandan Singh Dalawat Jung-Jo Lee |
Issue Date: | 2017 |
Publisher: | Journal of the Ramanujan Mathematical Society |
Abstract: | We give an intrinsic parametrisation of the set of tamely ramified extensions of a local field with finite residue field and bring to the fore the role played by group cohomology. We show that two natural definitions of the cohomology class of a tamely ramified finite galoisian extension coincide, and can be recovered from the parameter. We also give an elementary proof of Serres mass formula in the tame case and in the simplest wild case, and we classify tame galoisian extensions of degree the cube of a prime. |
URI: | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6331 |
Appears in Collections: | Articles to be qced |
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Tame ramification and group cohomology.pdf | 914.74 kB | Adobe PDF | View/Open |
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