Commutator automorphisms of formal power series rings
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- by Joseph Gubeladze and Zaza Mushkudiani PDF
- Proc. Amer. Math. Soc. 134 (2006), 1569-1578 Request permission
Abstract:
For a big class of commutative rings $R$, every continuous $R$-automorphism of $R[[X_1,\ldots ,X_n]]$ with the linear part the identity is in the commutator subgroup of $\operatorname {Aut}(R[[X_1,\ldots ,X_n]])$. An explicit bound for the number of commutators involved and a $K$-theoretic interpretation of this result are provided.References
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Additional Information
- Joseph Gubeladze
- Affiliation: Department of Mathematics, San Francisco State University, San Francisco, California 94132
- Email: soso@math.sfsu.edu
- Zaza Mushkudiani
- Affiliation: Kavsadze Street 4, Apart. 12, Tbilisi, Republic of Georgia
- Received by editor(s): January 16, 2004
- Received by editor(s) in revised form: January 3, 2005
- Published electronically: October 28, 2005
- Communicated by: Bernd Ulrich
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 1569-1578
- MSC (2000): Primary 13J10, 13F25, 19A99, 19B99
- DOI: https://doi.org/10.1090/S0002-9939-05-08221-3
- MathSciNet review: 2204266