شماره ركورد كنفرانس :
3934
عنوان مقاله :
Computation of the torsion subgroup of Whitehead group of a
semiramified division algebra
پديدآورندگان :
Motiee Mehran motiee@nit.ac.ir Babol University of Technology;
كليدواژه :
Division algebra , Whitehead group , Valuation.
عنوان كنفرانس :
بيست و پنجمين سمينار جبر ايران
چكيده فارسي :
Let D be a division algebra finite-dimensional over its center F. Let K1(D) be its Whitehead group
and T(D) be the torsion subgroup of K1(D). We establish a connection between T(D), data over the
residue algebra, and relative value group when F admits a Henselian valuation. In the case that D is
a nicely semiramified division algebra we give an explicit formula for T(D).