Email this article Several Remarks on Groups of Automorphisms of Free Groups
- Authors: Neretin Y.A.1,2,3,4
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Affiliations:
- University of Vienna
- Institute for Theoretical and Experimental Physics
- Moscow StateUniversity
- Institute for Information Transmission Problems
- Issue: Vol 215, No 6 (2016)
- Pages: 748-754
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237722
- DOI: https://doi.org/10.1007/s10958-016-2880-4
- ID: 237722
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Abstract
Let \( \mathbb{G} \) be the group of automorphisms of a free group F∞ of infinite order. Let ℍ be the stabilizer of the first m generators of F∞. We show that the double cosets Γm = ℍ \ \( \mathbb{G} \)/ℍ admit a natural semigroup structure. For any compact group K, the semigroup Γm acts in the space L on the product of m copies of K. Bibliography: 20 titles.
About the authors
Yu. A. Neretin
University of Vienna; Institute for Theoretical and Experimental Physics; Moscow StateUniversity; Institute for Information Transmission Problems
Author for correspondence.
Email: neretin@mccme.ru
Austria, Vienna; Moscow; Moscow; Moscow
