Several Remarks on Groups of Automorphisms of Free Groups

Several Remarks on Groups of Automorphisms of Free Groups

Let 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 Γ m = ℍ \ G /ℍ admit a natural semigroup structure. For any compact group K, the semigroup Γ m acts in the space L on the product of m...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-06, Vol.215 (6), p.748-754
1. Verfasser: Neretin, Yu. A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:Let 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 Γ m = ℍ \ G /ℍ admit a natural semigroup structure. For any compact group K, the semigroup Γ m acts in the space L on the product of m copies of K. Bibliography: 20 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-2880-4