24 Apr
2016
24 Apr
'16
9:06 p.m.
"Keith F. Lynch" <kfl@KeithLynch.net> wrote:
4 14 16 26
Note that that's isomorphic to the other one of the two abstract groups of order 4, the one that isn't a cyclic group. Inspired by that, here's an absurdly bold conjecture with remarkably little evidence: *Every* finite abelian group is isomorphic to some multiplicative group mod N. Someone prove me wrong. After I get my program to find all such groups through at least N=1000 working, I'll check and see if it appears to be true. Of course whatever I find will constitute neither a proof or a disproof, but it may inspire insight. In support of that, is there any online database of small abstract abelian groups? I see little point in reinventing that wheel. Thanks.