Translated from the Russian. Papers are on such subjects as the congruence problem for linear groups over arithmetic rings, birational properties of the reduced Whitehead group, projective modules overgroup rings of nilpotent groups, torsion in higher Milnor functions for multidimensional local fields, the structure of unitary and orthogonal groups over Henselian discretely normed Azumaya algebras (say that one three times fast), and profinite completions of linear solvable groups. No index. Annotation copyright Book News, Inc. Portland, Or.