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We consider a class of $(1,M)$-elementary step functions on the $p$-adicVilenkin group.  We prove that $(1,M)$-elementary step function generates a MRA on $p$-adicVilenkin group iff it is generated by a rooted tree on the set of vertices$\{0,1,\dots p-1\}$ with 0 as a root. Bibliography: 14 titles.

Trees in Wavelet analysis on Vilenkin groups