Question

Listed below are 11 topics in abstract algebra. Please rank in order the topics from easiest to hardest. Introduction to groups, groups, finite groups and subgroups, cyclic groups, permutation groups, isomorphisms, Coset's and Lagrange's Theorem, external direct products, normal subgroups and factor groups, group homomorphisms, fundamental theorem of finite abelian groups. @satellite73 @ganeshie8 @AravindG @whpalmer4 @wio @shamil98 @beccaboo333 @Destinymasha @blues @nincompoop @wolfe8 @Ashleyisakitty @MathLegend @e.cociuba @ybarrap @tHe_FiZiCx99 @Isaiah.Feynman @kewlgeek555 @helpme1.2 @tester9

Answer 1

O.o

Answer 2

you have them listed in that exact order

Answer 3

How ironic :}

Answer 4

although maybe i would put these
normal subgroups and factor groups, group homomorphisms
somewhere before isomorphisms

Answer 5

"easiest to hardest" kinda broad, some people find certain stuff to be easier than others. Whatever I say -- if I say anything take it into consideration. >_<

Answer 6

and cosets before those, since you need to know what a coset is to understand a normal subgroup

Answer 7

Apparently one of the hardest questions in abstract algebra is "Prove Lagrange's Theorem on demand" ... is that really that hard?