FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 3, PAGES 875-888

Verbal subgroups of the finitary automorphism group of a $2$-adic tree

N. V. Smetaniuk
V. I. Sushchansky

Abstract

View as HTML     View as gif image    View as LaTeX source

It is established that any verbal subgroup of the group of finitary automorphisms of a 2-adic rooted tree coincides with some term of its lower central series. The coincidences for derived subgroups, subgroups of $2k$-th degrees and terms of the Engel series are indicated precisely.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k00/k003/k00318h.htm
Last modified: December 8, 2000