Growth in Product Replacement Graphs of Grigorchuk Groups
نویسنده
چکیده
The product replacement graph Γk(G) is the graph on the generating k-tuples of a group G, with edges corresponding to Nielsen moves. We prove the exponential growth of product replacement graphs Γk(Gω) of Grigorchuk groups, for k ≥ 5.
منابع مشابه
Growth in Product Replacement Graphs
We prove the exponential growth of product replacement graphs for a large class of groups. Much of our effort is dedicated to the study of product replacement graphs of Grigorchuk groups, where the problem is most difficult.
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تاریخ انتشار 2014