query: Cycle decomposition for elements of order 2 in $S_4$
positive_passages.docid: 142038
positive_passages.text: Finding the number of elements of order two in the symmetric group $S_4$
negative_passages.docid: 100061
negative_passages.text: The Maximum possible order for an element $S_n$
negative_passages.docid: 102341
negative_passages.text: Primary decomposition of a monomial ideal
negative_passages.docid: 99694
negative_passages.text: Number of subgroups of $S_4$
negative_passages.docid: 123710
negative_passages.text: Find eight elements in $S_6$ that commute with $(12)(34)(56)$
negative_passages.docid: 78048
negative_passages.text: Group of order 24 with no element of order 6 is isomorphic to $S_4$
negative_passages.docid: 103866
negative_passages.text: decomposing a factor group into a direct sum of cyclic groups
negative_passages.docid: 75553
negative_passages.text: Order of matrices in $GL_2(\mathbb{Z})$
negative_passages.docid: 83115
negative_passages.text: A set of elements in a reduced unity ring
negative_passages.docid: 102971
negative_passages.text: Product of all elements of a finite group with an unique element of order 2
negative_passages.docid: 46687
negative_passages.text: Elements of $GL_{2}(\mathbb{Z})$ of finite order
negative_passages.docid: 83654
negative_passages.text: Order of an element in a finite cyclic group
negative_passages.docid: 16476
negative_passages.text: Order of the product of two commuting elements with coprime orders in a group.
negative_passages.docid: 144394
negative_passages.text: Order 2 elements in finite characteristic field
negative_passages.docid: 102938
negative_passages.text: $\Bbb F_2[X]$ modules with 8 elements
negative_passages.docid: 149294
negative_passages.text: How do i prove how $S_5$ is generated by a two cycle and a five cycle?
negative_passages.docid: 105322
negative_passages.text: Computing the quotient of SL(2,Z) by its commutator subgroup