Reduced Whitehead groups of prime exponent algebras over $p$-adic curves
نویسندگان
چکیده
Let F be the function field of a curve over p-adic field. D/F central division algebra prime exponent $\ell$ which is different from p. Assume that contains primitive ${\ell}^2$-th root unity. Then group $SK_1(D):=SL_1(D)/[D^*, D^*]$ trivial.
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ژورنال
عنوان ژورنال: Documenta Mathematica
سال: 2021
ISSN: ['1431-0635', '1431-0643']
DOI: https://doi.org/10.4171/dm/816