How can you prove that S3, S4 & A4 are soluble, & that A5 & S5 are not?
I know that every group of order less than 60 is soluble, but how would you proove it without using that fact in these cases? :-)
I have absolutely no idea where to start! :-s (our lecturer did not explain this bit very well AT ALL! :-( )
Any of the proofs, or even some explanation about what Soluble Groups actually mean & their significance, would be VERY MUCH appreciated! :-)
Many, many thanks. x