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A lower bound for the growth of a 3-generator 2-group. (English. Russian original) Zbl 1031.20024

Sb. Math. 192, No. 11, 1661-1676 (2001); translation from Mat. Sb. 192, No. 11, 77-92 (2001).
Summary: A non-trivial lower bound is obtained for the growth of a certain periodic 3-generator group. It gives the negative answer to a conjecture of Grigorchuk posed in 1990.

MSC:

20F05 Generators, relations, and presentations of groups
20E08 Groups acting on trees
20F50 Periodic groups; locally finite groups
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