Self Doubt[Group Theory]

Question

Is Every Group of Order $P^{k}$ such that P is prime and K is positive integer ABELIAN

Comments

A constant value cannot form a set

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Go through this: https://yutsumura.com/a-simple-abelian-group-if-and-only-if-the-order-is-a-prime-number/

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@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

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@jatin khachane 1

then P must be variable and k is order of group