外层空间的极小线
Lines of minima in Outer space
摘要：
对于n>2个生成元的自由群Fn，我们定义了在外层空间厚的部分中的极小线.我们表明，这些线的最小收缩的Lipschitz度量。Fn的每一个完全不可约的外自同构都定义了这样一条线的极小值.设G是Fn的外自同构群的一个子群，它不是虚交换群。作为直接应用，我们得到：如果G至少包含一个完全不可约元，则对任意p<1，系数在lp（G）中的第二有界上同调群是无穷维的.
英文摘要：
We define lines of minima in the thick part of Outer space for the free group Fn with n>2 generators. We show that these lines of minima are contracting for the Lipschitz metric. Every fully irreducible outer automorphism of Fn defines such a line a minima. Now let G be a subgroup of the outer automorphism group of Fn which is not virtually abelian. We obtain as an immediate application that if G contains at least one fully irreducible element then for every p<1 the second bounded cohomology group with coefficients in lp(G) is infinite dimensional.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
