TWISTED CONJUGACY CLASSES IN LATTICES IN SEMISIMPLE LIE GROUPS

被引：0
|
作者：
T. MUBEENA
P. SANKARAN
机构：
[1] The Institute of Mathematical Sciences,
[2] The Institute of Mathematical Sciences,undefined
来源：
Transformation Groups | 2014年 / 19卷
关键词：
Normal Subgroup; Real Rank; Compact Factor; Trivial Centre; Irreducible Lattice;
D O I：
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学科分类号：
摘要：
Given a group automorphism ϕ: Γ → Γ, one has an action of Γ on itself by ϕ-twisted conjugacy, namely, g.x = gxϕ(g−1). The orbits of this action are called ϕ-conjugacy classes. One says that Γ has the R∞-property if there are infinitely many ϕ-conjugacy classes for every automorphism ϕ 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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页码：159 / 169
页数：10
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