The Grigorchuk Group
نویسندگان
چکیده
In this survey we will define the Grigorchuk group and prove some of its properties. We will show that the Grigorchuk group is finitely generated but infinite. We will also show that the Grigorchuk group is a 2-group, meaning that every element has finite order a power of two. This, along with Burnside’s Theorem, gives that the Grigorchuk group is not linear.
منابع مشابه
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In this paper we prove that the conjugacy problem in the Grigorchuk group has polynomial time complexity. This solves a problem posed by Grigorchuk rather unexpectedly. Mathematics Subject Classification (2010). 20F10, 20E08.
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