Submission: 2014, Nov 25
In 1991, A.Suslin conjectured that if the index of a central simple algebra $A$ is not square-free, then the reduced Whitehead group of $A$ is nontrivial generically. We prove this conjecture in the present paper.
2010 Mathematics Subject Classification: 19B99, 14C25
Keywords and Phrases: simple algebras; reduced Whitehead group; algebraic $K$-theory; algebraic cycles
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