We interpret the Pascal-adic transformation as a generalized induced
automorphism (over odometer) and formulate the $\sigma$-finite analog of
odometer which is also known as "Hajian-Kakutani transformation" (former "Ohio
state example"). We shortly suggest a sketch of the theory of random walks on
the groups on the base of $\sigma$-finite ergodic theory.Comment: 14 pp,Ref.1