-distortion of Finite Quotients of Amenable Groups
نویسنده
چکیده
We study the Lp-distortion of finite quotients of amenable groups. In particular, for every 2 ≤ p < ∞, we prove that the lp-distortions of the groups C2 ≀Cn and Cpn ⋉Cn are in Θ((log n) 1/p), and that the lp-distortion of C2 n ⋉A Z, where A is the matrix (
منابع مشابه
On the L-distortion of finite quotients of amenable groups
We study the Lp-distortion of finite quotients of amenable groups. In particular, for every 2 ≤ p < ∞, we prove that the `p-distortions of the groups C2 oCn and Cpn nCn are in Θ((log n)1/p), and that the `p-distortion of C2 n nA Z, where A is the matrix ( 2 1 1 1 ) is in Θ((log log n)1/p).
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تاریخ انتشار 2007