query: Frattini subgroups and nilpotent groups: bijection?
positive_passages.docid: 144218
positive_passages.text: Does every finite nilpotent group occur as a Frattini subgroup?
negative_passages.docid: 33868
negative_passages.text: A transformation between two free group actions.
negative_passages.docid: 129610
negative_passages.text: Why is the direct product of a finite number of nilpotent groups nilpotent?
negative_passages.docid: 122353
negative_passages.text: Status of the classification of non-finitely generated abelian groups.
negative_passages.docid: 158975
negative_passages.text: Isomorphism of centers of isomorphic groups
negative_passages.docid: 133019
negative_passages.text: Nilpotent elements in $\mathbb Z_n$
negative_passages.docid: 150207
negative_passages.text: Non isomorphic subgroups of cyclic groups
negative_passages.docid: 87766
negative_passages.text: Using Cayley's Theorem to find an isomorphic subgroup.
negative_passages.docid: 73382
negative_passages.text: A concrete example of involution in group theory
negative_passages.docid: 18182
negative_passages.text: An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
negative_passages.docid: 70904
negative_passages.text: Subgroups of $U(n)$ isomorphic to a direct sum of cyclic groups
negative_passages.docid: 56097
negative_passages.text: If $A$ and $AB-BA$ commute, show that $AB-BA$ is nilpotent
negative_passages.docid: 64408
negative_passages.text: Subgroup of $\mathbb{Q}$ with finite index
negative_passages.docid: 29003
negative_passages.text: Is the dihedral group $D_n$ nilpotent? solvable?
negative_passages.docid: 73988
negative_passages.text: Characterize the groups $G$ for which the map $\iota: G \to G$, sending $x \mapsto x^{-1}$ for all $x \in G$, is an automorphism of $G$
negative_passages.docid: 63882
negative_passages.text: Show that the heisenberg group is nilpotent
negative_passages.docid: 33294
negative_passages.text: The correspondence theorem for groups