Geodesic
Algebraic Elements and Sets of Uniqueness in the Group of Integers of a p-Series Field
Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 177-184

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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.
DOI : 10.4153/CMB-1986-029-7
Mots-clés : Primary 42C10, 42C25, Secondary 43A75, 12B99, Group of integers of a p-series field, set of uniqueness, Pisot element, Salem element, Walsh series 
Aubertin, Bruce. Algebraic Elements and Sets of Uniqueness in the Group of Integers of a p-Series Field. Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 177-184. doi: 10.4153/CMB-1986-029-7
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     title = {Algebraic {Elements} and {Sets} of {Uniqueness} in the {Group} of {Integers} of a {p-Series} {Field}},
     journal = {Canadian mathematical bulletin},
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     year = {1986},
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     doi = {10.4153/CMB-1986-029-7},
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