Please use this identifier to cite or link to this item: https://gnanaganga.inflibnet.ac.in:8443/jspui/handle/123456789/6331
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
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