On the Word and Period Growth of some Groups of Tree Automorphisms

Details On the Word and Period Growth of some Groups of Tree Automorphisms On the Word and Period Growth of some Groups of Tree Automorphisms

2000-05-11

arxiv.org/abs/math/0005113v2

Comm. Algebra 29 (2001), no. 11, 4923--4964

Mathematics

Group Theory

to appear in Comm. Algebra

Scientific paper

10.1081/AGB-100106794

We generalize a class of groups defined by Rostislav Grigorchuk to a much
larger class of groups, and provide upper and lower bounds for their word
growth (they are all of intermediate growth) and period growth (under a small
additional condition, they are periodic).

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