??so ... ??given a number ring x ... ??? .... consider it's ideal class group ... ??and also consider its "splitting rule" ... ????then ... does the ideal class group sort of "fit into the splitting rule" ??? ... ???in a certain sense ??? .... ??? ....

??so what do i think i mean by that ?? ... that primes of x are somewhat organized according to "splitting rule" of x (??for case of x abelian extension of something ... ??so maybe i'm just talking about that case for now ... ??? ... ??? ...) ... ?? then maybe using this organization in describing ideal class group .... ???? ....

?? might i be getting at "easy part of ideal class group" or something here ???? .....


??ideal class group of x as relating to unramified extensions _of_ x ... ????....

(??then also "idele ..." .... ???? ..... ???? .... ramified extensions ...)


?? so is it at least true that ... "previously principal ideals don't suddenly become non-principal without splitting ... " ??? .... ???? ....