Commutator automorphisms of formal power series rings
Abstract
For a big class of commutative rings R every continuous R-automorphism of R[[X1,...,Xn]] with the identity linear part is in the commutator subgroup of Aut(R[[X1,...,Xn]]). An explicit bound for the number of the involved commutators and a K-theoretic interpretation of this result are provided.
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