Geodesic
CENTRAL INTERPOLATION SETS FOR COMPACT GROUPS AND HYPERGROUPS
Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 593-603

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DOI

We prove that every infinite subset of the dual of a compact, connected group contains an infinite, central, weighted I0 set. This yields a new proof of the fact that the duals of such groups admit infinite central p-Sidon sets for each p > 1. We also establish the existence of infinite, weighted I0 sets in the duals of many compact, abelian hypergroups.
DOI : 10.1017/S0017089509990024
Mots-clés : Primary 43A46, secondary 43A62, 43A30 
GROW, DAVID; HARE, KATHRYN E. CENTRAL INTERPOLATION SETS FOR COMPACT GROUPS AND HYPERGROUPS. Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 593-603. doi: 10.1017/S0017089509990024
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     author = {GROW, DAVID and HARE, KATHRYN E.},
     title = {CENTRAL {INTERPOLATION} {SETS} {FOR} {COMPACT} {GROUPS} {AND} {HYPERGROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {593--603},
     year = {2009},
     volume = {51},
     number = {3},
     doi = {10.1017/S0017089509990024},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990024/}
}
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