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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 2001 Volume 192, Number 11, Pages 77–92 (Mi sm610)
This article is cited in 5 papers

A lower bound for the growth of a 3-generator 2-group

Yu. G. Leonov

Ukrainian State Academy of Communications

Abstract: 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.

UDC: 512.54

MSC: 20F50

Received: 26.12.2000

DOI: 10.4213/sm610


 English version: Sbornik: Mathematics, 2001, 192:11, 1661–1676

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© Steklov Math. Inst. of RAS, 2026