query: Short trick to find the number of Sylow p subgroups in permutation groups.
positive_passages.docid: 156154
positive_passages.text: Sylow 2 subgroups of S4
negative_passages.docid: 67272
negative_passages.text: Deduce that if $G$ is a finite $p$-group, the number of subgroups of $G$ that are not normal is divisible by $p$
negative_passages.docid: 3439
negative_passages.text: Other proofs that subgroups of $A_5$ have order at most 12
negative_passages.docid: 114752
negative_passages.text: Number of permutations of a specific cycle decomposition
negative_passages.docid: 95378
negative_passages.text: Known bounds for the number of groups of a given order.
negative_passages.docid: 18881
negative_passages.text: Number of elements of order $7$ in a group
negative_passages.docid: 8746
negative_passages.text: Groups of order $pq$ without using Sylow theorems
negative_passages.docid: 115204
negative_passages.text: Show that SO(n) is a normal subgroup of O(n)
negative_passages.docid: 39938
negative_passages.text: Subgroups of a cyclic group and their order.
negative_passages.docid: 117744
negative_passages.text: $p$-Sylow in quotient groups
negative_passages.docid: 80381
negative_passages.text: Groups with "few" subgroups
negative_passages.docid: 133770
negative_passages.text: Subgroups of finite abelian groups.
negative_passages.docid: 115746
negative_passages.text: Find the order of a subgroup of $S_5$ generated by two elements
negative_passages.docid: 76962
negative_passages.text: Sylow $p$-subgroups of $GL_n(\mathbb{F}_p)$
negative_passages.docid: 90449
negative_passages.text: Showing that a Sylow subgroup of a group of order $p^{2}q$ is normal.
negative_passages.docid: 122959
negative_passages.text: How is number of conjugacy class related to the order of a group?
negative_passages.docid: 97314
negative_passages.text: Counting nearly-sorted permutations