TAME AUTOMORPHISMS WITH MULTIDEGREES IN THE FORM OF ARITHMETIC PROGRESSIONS

Let (a, a + d, a + 2d) be an arithmetic progression of positive integers. The following statements are proved: (1) If a vertical bar 2d, then (a, a + d, a + 2d) is an element of mdeg(Tame(C-3)). (2) If a inverted iota 2d and (a, a + d, a + 2d) is not an element of {(4i, 5i, 6i), (4i, 7i, 10i) : i is an element of N+}, then (a, a + d, a + 2d) is not an element of mdeg(Tame(C-3)). (C) 2015 Mathematical Institute Slovak Academy of Sciences