2026-04-18T00:29:27Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4524502024-06-06T09:44:01Zcom_2072_98col_2072_378195

00925njm 22002777a 4500 dc Bogopolski, O. author Vikentiev, Ruslan author Centre de Recerca Matemàtica author 2007 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. Grups, Teoria dels Subgroups of small index in Aut(Fn) and Kazhdan's property (T)