square173205 Posted October 27, 2007 Share Posted October 27, 2007 Cauchy's equation is expressed as, f(x+y) = f(x)+f(y) In the following site: http://hecoaustralia.fortunecity.com/cauchy/cauchyequation.htm I tried to expand the Cauchy's equation to general group homomorphism. Link to comment Share on other sites More sharing options...
square173205 Posted October 30, 2007 Author Share Posted October 30, 2007 Commutator group has a close relationship with abelian extension of field. However if the extension of the field is not abelian, we would need the other group to form the solvable group. In the following site I tried to generalize the commutator group for that purpose. http://hecoaustralia.fortunecity.com/commutator/algebra.htm Link to comment Share on other sites More sharing options...
Dave Posted October 31, 2007 Share Posted October 31, 2007 Would appreciate it if you shared some of these ideas on the forum instead of linking to ad-riddled pages! Link to comment Share on other sites More sharing options...
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