query: How to find a p-Sylow for symmetric group $S_{p^2}$？
positive_passages.docid: 143314
positive_passages.text: Sylow subgroup of $S_{p^2}$
negative_passages.docid: 62017
negative_passages.text: Distinct Sylow P subgroups
negative_passages.docid: 157806
negative_passages.text: Order of a element on a Symmetric Group
negative_passages.docid: 15387
negative_passages.text: Order of $GL(n, \mathbb Z_p)$
negative_passages.docid: 41294
negative_passages.text: Permutation module of $S_n$
negative_passages.docid: 122665
negative_passages.text: Help finding the fundamental group of $S^2 \cup \{xyz=0\}$
negative_passages.docid: 142938
negative_passages.text: Sylow 2-subgroups of the group $\mathrm{PSL}(2,q)$
negative_passages.docid: 122970
negative_passages.text: A question on $p$-groups, and order of its commutator subgroup.
negative_passages.docid: 83542
negative_passages.text: A natural problem in $\textrm{S}_2^\textrm{P}$?
negative_passages.docid: 8746
negative_passages.text: Groups of order $pq$ without using Sylow theorems
negative_passages.docid: 11627
negative_passages.text: Find the center of the symmetry group $S_n$.
negative_passages.docid: 68211
negative_passages.text: Characters of Symmetric and Antisymmetric Powers
negative_passages.docid: 45254
negative_passages.text: Sylow Theorem Explanation
negative_passages.docid: 23037
negative_passages.text: Computing the order of $\mathrm{SL}_2(\mathbb F_p)$ as the kernel of $\mathrm{GL}_2(\mathbb F_p)$
negative_passages.docid: 151559
negative_passages.text: Please help: How to show that Aut(G) is a subgroup of Sym(G)
negative_passages.docid: 61546
negative_passages.text: Prove that for each prime $p$ there exists a nonabelian group of order $p^3$
negative_passages.docid: 142038
negative_passages.text: Finding the number of elements of order two in the symmetric group $S_4$