Recent content by jz2012

Thanks a lot DonAntonio, this is very helpful! I am just wondering \,p(G/S)\,:=\{p(x+S)=px +S\;|\;x\in G\} is this a definition for p(G/S), not \,p(G/S)\,:=\{p(x+S)=px +pS = px+ S\;|\;x\in G\} (i assume := means definition?)

Hi, I have a question from "A first course in abstract algebra" by J. Rotman, Hi, this is a question from " A first course in abstract algebra" by J. Rotman define d(G) = dim(G/pG) chapter 5, lemma 5.8 (P392), Let G be a finite p primary abelian group. If S<=G, then d(G/S) <= d(G)...