No CrossRef data available.
 and
 and 
Published online by Cambridge University Press: 14 November 2011
It is shown that under the action of a geometric subgroup  of
 of  and
 and  , for a germ f satisfying a certain finiteness condition, given a germ p, if the tangent spaces of f and f + p are equal for all t ∈ [0, 1], then f and f + p are
, for a germ f satisfying a certain finiteness condition, given a germ p, if the tangent spaces of f and f + p are equal for all t ∈ [0, 1], then f and f + p are  -equivalent.
-equivalent.
 and
 and  . Canad. J. Math.  46(1994), 995–1006.CrossRefGoogle Scholar
. Canad. J. Math.  46(1994), 995–1006.CrossRefGoogle Scholar