0 votes 0 votes Is Every Group of Order $P^{k}$ such that P is prime and K is positive integer ABELIAN Set Theory & Algebra discrete-mathematics group-theory + – jatin khachane 1 asked Dec 26, 2018 jatin khachane 1 497 views answer comment Share Follow See all 4 Comments See all 4 4 Comments reply srestha commented Dec 26, 2018 reply Follow Share A constant value cannot form a set 0 votes 0 votes Gupta731 commented Dec 26, 2018 reply Follow Share Go through this: https://yutsumura.com/a-simple-abelian-group-if-and-only-if-the-order-is-a-prime-number/ 0 votes 0 votes jatin khachane 1 commented Dec 26, 2018 reply Follow Share @Gupta731 in that link they given for SIMPLE ABELIAN GROUP...NOT FOR ABELIAN GROUP what is differnce in abelian and simple abelian If order of group is prime ====> Group is cyclic ====> Group is abelian This is one way only ..in one of prev question it is taken group of order P^2 is abelian ...is it generalize to P^k 0 votes 0 votes srestha commented Dec 26, 2018 reply Follow Share @jatin khachane 1 then P must be variable and k is order of group 0 votes 0 votes Please log in or register to add a comment.