Reduced Whitehead groups of prime exponent algebras over -adic curves

  • Nivedita Bhaskhar

    Department of Mathematics, University of Southern California, Los Angeles, CA 90089-2532, USA
Reduced Whitehead groups of prime exponent algebras over $p$-adic curves cover
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Abstract

Let be the function field of a curve over a -adic field. Let be a central division algebra of prime exponent which is different from . Assume that contains a primitive root of unity. Then the abstract group is trivial.

Cite this article

Nivedita Bhaskhar, Reduced Whitehead groups of prime exponent algebras over -adic curves. Doc. Math. 26 (2021), pp. 337–413

DOI 10.4171/DM/816