SOME PROPERTIES OF WHITEHEAD GROUPS AND THEIR UNITARY ANALOGS OF AZUMAYA ALGEBRAS OVER FUNCTION FIELDS OF THE p-ADIC CURVES AND OVER SPECIAL HENSELIAN ONES
Abstract
The groups of reduced and reduced unitary norms of tamely ramified Henselian division algebras are described. Important properties of reduced and reduced unitary Whitehead groups of division algebras over function fields of p-adic curves after extension scalars to their completions with respect to special discrete valuations and of skew fields of the so-called noncommutative p-adic rational functions are obtained.
About the Author
V. I. YANCHEVSKIĬ
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
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