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Algebraic Elements and Sets of Uniqueness in the Group of Integers of a p-Series Field

Published online by Cambridge University Press:  20 November 2018

Bruce Aubertin
Bruce Aubertin*
Affiliation:
Department of Mathematics And Statistics, Massey University, Palmerston North, New Zealand
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Abstract

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Let G be the group of integers of a p-series field. A class {E(θ)} of perfect null subsets of G is introduced and classified into M-sets and U-sets according to the arithmetical nature of the field element θ. This is analogous to the well-known classification, involving Pisot numbers, of certain Cantor sets on the circle.

Keywords

Primary 42C1042C25Secondary 43A7512B99Group of integers of a p-series fieldset of uniquenessPisot elementSalem elementWalsh series
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 2 , 01 June 1986 , pp. 177 - 184
Copyright
Copyright © Canadian Mathematical Society 1986

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