Some aspects of the functor K_2 of fields

Mathematics – History and Overview

Scientific paper

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Final version. To appear in the Journal of the Ramanujan Mathematical Society

Scientific paper

A review of the connections between K_2 of a field and universal central
extensions, quadratic forms, central simple algebras, differential forms,
abelian extensions, abelian coverings, explicit reciprocity laws, special
values of zeta functions, and special values of L-functions. No proofs, minimal
bibliography.

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