关于amenable groups有限元的L^p-畸变
On the L^p-distorsion of finite quotients of amenable groups
摘要：
研究顺从群的有限直积的L^p-畸变。特别地，对于任何大于或等于2的数p，我们证明了有限点灯者群的l^p-畸变像（\log n）^{1/p}一样增长.我们还给出了某些亚交换多环群和可解Baumslag-Solitar群BS（m，1）的有限直积的l^p-畸变的渐近性质。证明是简短和基本的。
英文摘要：
We study the L^p-distortion of finite quotients of amenable groups. In particular, for every number p larger or equal than 2, we prove that the l^p-distortion of the finite lamplighter group grows like (\log n)^{1/p}. We also give the asymptotic behavior of the l^p-distortion of finite quotients of certain metabelian polycyclic groups and of the solvable Baumslag-Solitar groups BS(m,1). The proofs are short and elementary.
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