The multiplicative subgroup of all elements in the product of the multiplicative groups 
whose absolute value is 1
at all but finitely many 
,
where 
is a number field
and 
a field place.
Idèle
See also
AdèleExplore with Wolfram|Alpha
References
Knapp, A. W. "Group Representations and Harmonic Analysis, Part II." Not. Amer. Math. Soc. 43, 537-549, 1996.Referenced on Wolfram|Alpha
IdèleCite this as:
Weisstein, Eric W. "Idèle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Idele.html