Leonov, Yu. G. 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. Cited in 1 Document MSC: 20F05 Generators, relations, and presentations of groups 20E08 Groups acting on trees 20F50 Periodic groups; locally finite groups Keywords:finitely generated \(2\)-groups; Grigorchuk groups; groups acting on trees; growth functions PDFBibTeX XMLCite \textit{Yu. G. Leonov}, Sb. Math. 192, No. 11, 1661--1676 (2001; Zbl 1031.20024); translation from Mat. Sb. 192, No. 11, 77--92 (2001) Full Text: DOI