Lecture 2: the Tits Alternative and Kazhdan’s Property (t ) (preliminary Version)
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چکیده
A very interesting large class of groups is provided by the linear groups, namely the subgroups of GLd(K), for some (commutative) field K. There are few general tools to study arbitrary finitely generated groups (often one has to resort to combinatorics and analysis as we did in Lecture 1 above for example). However for linear groups the situation is very different and a wide range of techniques (including algebraic number theory and algebraic geometry) become available. Jacques Tits determined in 1972 which linear groups are amenable by showing his famous alternative:
منابع مشابه
The algebraization of Kazhdan’s property (T)
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تاریخ انتشار 2012