Some power-sequence terraces for image with as few segments as possible Original Research Article

A power-sequence terrace for image is a image terrace that can be partitioned into segments one of which contains merely the zero element of image whilst each other segment is either (a) a sequence of successive powers of an element of image, or (b) such a sequence multiplied throughout by a constant. If image, where p and q are distinct odd primes, the minimum number of segments for such a terrace is image, where image is the ratio image of the number of units in image to the maximum order of a unit from image. For image, general constructions are provided for power-sequence image terraces with image segments. These constructions are for image, 4 and 6, and they produce terraces throughout the range image except for image.