query: Nonabelian group of order $p^n$ for every $p$ prime and $n \in \mathbb{N}$
positive_passages.docid: 157841
positive_passages.text: Existence of a non-abelian group of order $p^n$.
negative_passages.docid: 123796
negative_passages.text: Order of automorphism group of a $p$-group is divisible by $p$.
negative_passages.docid: 71035
negative_passages.text: Non abelian subgroup of a abelian group.
negative_passages.docid: 142894
negative_passages.text: Showing that a group of order $pq$ is cyclic if it has normal subgroups of order $p$ and $q$
negative_passages.docid: 126893
negative_passages.text: A group of order 2p (p prime) and other conditions - prove abelian.
negative_passages.docid: 125640
negative_passages.text: Group of order $p^2$ is abelian.
negative_passages.docid: 67694
negative_passages.text: Nonabelian group with all irreducible representations one-dimensional
negative_passages.docid: 42389
negative_passages.text: If $(G, \oplus)$ has order $2n$, prove that every proper subgroup of $(G, \oplus)$
negative_passages.docid: 19352
negative_passages.text: Normal subgroup of index m contains every element of order n where m and n are relatively prime
negative_passages.docid: 101735
negative_passages.text: A finite $p$-group cannot be simple unless it has order $p$
negative_passages.docid: 157819
negative_passages.text: Every group of order $56$ has a proper non - trivial normal subgroup?
negative_passages.docid: 81864
negative_passages.text: Finite group of order $mn$ with $\gcd(m,n) = 1$ .
negative_passages.docid: 17178
negative_passages.text: Order of $\phi(g)$ divides the order of $g$
negative_passages.docid: 13734
negative_passages.text: Show that every group of prime order is cyclic
negative_passages.docid: 63499
negative_passages.text: Groups of prime squared order
negative_passages.docid: 34972
negative_passages.text: order of non abelian group can't be what?
negative_passages.docid: 91772
negative_passages.text: Proving that $A_n$ is the only proper nontrivial normal subgroup of $S_n$, $n\geq 5$