Arbitrarily large residual finiteness growth
نویسندگان
چکیده
منابع مشابه
Bounding the Residual Finiteness of Free Groups
We find a lower bound to the size of finite groups detecting a given word in the free group. More precisely we construct a word wn of length n in non-abelian free groups with the property that wn is the identity on all finite quotients of size ∼ n2/3 or less. This improves on a previous result of BouRabee and McReynolds quantifying the lower bound of the residual finiteness of free groups. A gr...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2016
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle-2013-0127