Commutator automorphisms of formal power series rings
classification
🧮 math.AC
math.KT
keywords
commutatorringsautomorphismsboundclasscommutativecommutatorscontinuous
read the original abstract
For a big class of commutative rings R every continuous R-automorphism of R[[X_1,...,X_n]] with the identity linear part is in the commutator subgroup of Aut(R[[X_1,...,X_n]]). An explicit bound for the number of the involved commutators and a K-theoretic interpretation of this result are provided.
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