TWISTED CONJUGACY CLASSES IN LATTICES IN SEMISIMPLE LIE GROUPS |
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| Authors: | T. MUBEENA P. SANKARAN |
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| Affiliation: | 1. The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600113, India
2. The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600113, India
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| Abstract: | Given a group automorphism ?: Γ?→?Γ, one has an action of Γ on itself by ?-twisted conjugacy, namely, g.x?=?gx?(g ?1). The orbits of this action are called ?-conjugacy classes. One says that Γ has the R∞-property if there are infinitely many ?-conjugacy classes for every automorphism ? of Γ. In this paper we show that any irreducible lattice in a connected semisimple Lie group having finite centre and rank at least 2 has the R∞-property. |
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