Generic Thinness in Finitely Generated Subgroups of SL$_n(\mathbb Z)$
نویسندگان
چکیده
منابع مشابه
GENERIC THINNESS IN FINITELY GENERATED SUBGROUPS OF SLn(Z)
We show that for any n ≥ 2, two elements selected uniformly at random from a symmetrized Euclidean ball of radius X in SLn(Z) will generate a thin free group with probability tending to 1 as X → ∞. This is done by showing that the two elements will form a ping-pong pair, when acting on a suitable space, with probability tending to 1. On the other hand, we give an upper bound less than 1 for the...
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We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertices of its representation by a reduced graph such as can be obtained by the method of Stallings foldings. Our algorithm randomly generates a subgroup of a given size n, according to the uniform distribution over size n ...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2016
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnw136