A GROUP OF NON-UNIFORM EXPONENTIAL GROWTH LOCALLY ISOMORPHIC TO IMG(z(2) + i)

作者:Nekrashevych Volodymyr*
来源:Transactions of the American Mathematical Society, 2010, 362(1): 389-398.

摘要

We prove that a sequence of marked three-generated groups isomorphic to the iterated monodromy group of z(2) + i converges to a group of non-uniform exponential growth, which is an extension of the infinite direct sum of cyclic groups of order 4 by a Grigorchuk group.

  • 出版日期2010-1