JournalsrmiVol. 24, No. 2pp. 617–630

On the verbal width of finitely generated pro-pp groups

  • Andrei Jaikin-Zapirain

    Universidad Autónoma de Madrid, Spain
On the verbal width of finitely generated pro-$p$ groups cover
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Abstract

Let pp be a prime. It is proved that a non-trivial word ww from a free group FF has finite width in every finitely generated pro-pp group if and only if w∉(F)pFw\not \in (F^\prime)^{p} F^{\prime\prime}. Also it is shown that any word ww has finite width in a compact pp-adic group.

Cite this article

Andrei Jaikin-Zapirain, On the verbal width of finitely generated pro-pp groups. Rev. Mat. Iberoam. 24 (2008), no. 2, pp. 617–630

DOI 10.4171/RMI/549