科研之友
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摘要
We show that there exists a finitely generated group of growth similar to f for all functions f: R+-> R+ satisfying f (2R) <= f (R)(2) <= f (eta+R) for all R large enough and eta+ 2.4675 the positive root of X3 X2 2X 4. Set a_ = log2/ log ri+ 0.7674; then all functions that grow uniformly faster than exp(Ra) are realizable as the growth of a group. We also give a family of sum-contracting branched groups of growth exp(Ra) for a dense set of a E [a_, 1].
- 出版日期2014
