query: $p$-group has "all" subgroups
positive_passages.docid: 21673
positive_passages.text: If $|G| = p^n$ then $G$ has a subgroup of order $p^m$ for all $0\le m <n.$
negative_passages.docid: 58251
negative_passages.text: To show every sylow p-subgroup is normal in G
negative_passages.docid: 122970
negative_passages.text: A question on $p$-groups, and order of its commutator subgroup.
negative_passages.docid: 149578
negative_passages.text: Subgroups of $(\mathbb Z_n,+)$
negative_passages.docid: 133954
negative_passages.text: Does every infinite group have a maximal subgroup?
negative_passages.docid: 68955
negative_passages.text: Characterising subgroups of Prüfer $p$-groups.
negative_passages.docid: 96878
negative_passages.text: A finite group with the property that all of its proper subgroups are abelian
negative_passages.docid: 143314
negative_passages.text: Sylow subgroup of $S_{p^2}$
negative_passages.docid: 104080
negative_passages.text: Group with order $pq$ has subgroups of order $p$ and $q$
negative_passages.docid: 14895
negative_passages.text: Reference for the subgroup structure of $\rm{PSL}_2(q)$
negative_passages.docid: 156941
negative_passages.text: Subgroups of $\mathbb{Z}$
negative_passages.docid: 33945
negative_passages.text: Showing that $|N \cap Z(G)| > 1$ for normal subgroups of p-groups
negative_passages.docid: 80381
negative_passages.text: Groups with "few" subgroups
negative_passages.docid: 152904
negative_passages.text: Groups with Same Number Of Elements and Subgroups
negative_passages.docid: 3756
negative_passages.text: If $G$ is abelian, then the set of all $g \in G$ such that $g = g^{-1}$ is a subgroup of $G$
negative_passages.docid: 92750
negative_passages.text: Groups where all elements are order 3
negative_passages.docid: 43750
negative_passages.text: Subgroups of finite solvable groups. Solvable?