hi everyone. my problem is with free groups and group presentations.
if say, for example, i have a group <a,b,c | ab=c & some other relations> is this group necessarily isomorphic to a group <d,e,f | de=f and some relations> if the relations in the second group are similar in form with the first one?
Originally Posted by pruzchett
thanks for the reply, is there a theorem on this or anything? i badly need it for my thesis and i couldn't find a book that examines the isomorphism of nonabelian free groups with similar structure of relators thoroughly...