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Title:
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Subgroups of small index in Aut(Fn) and Kazhdan's property (T)
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Author:
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Bogopolski, O.; Vikentiev, Ruslan
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Other authors:
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Centre de Recerca Matemàtica |
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Resum:
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We give a series of interesting subgroups of finite index in Aut(Fn). One of them has index 42 in Aut(F3) and infinite abelianization.
This implies that Aut(F3) does not have Kazhdan’s property (T) (see [3] and [6] for another proofs). We proved also that every subgroup of finite index in Aut(Fn), n &= 3, which contains the subgroup of IA-automorphisms, has a finite abelianization. |
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Publication date:
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2007-09 |
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Subject (UDC):
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512 - Àlgebra |
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Subject(s):
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Grups, Teoria dels |
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Rights:
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Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
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Document type:
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Preprint |
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