query: Isomorphism problem involving the Symmetric Group
positive_passages.docid: 78048
positive_passages.text: Group of order 24 with no element of order 6 is isomorphic to $S_4$
negative_passages.docid: 136389
negative_passages.text: Finding an isomorphic subring of matrices
negative_passages.docid: 41695
negative_passages.text: Conjugate class in the dihedral group
negative_passages.docid: 35472
negative_passages.text: Transitive subgroup of symmetric group $S_n$ containing an $(n-1)$-cycle and a transposition
negative_passages.docid: 33455
negative_passages.text: Question on group homomorphisms involving the standard Z-basis
negative_passages.docid: 158975
negative_passages.text: Isomorphism of centers of isomorphic groups
negative_passages.docid: 102429
negative_passages.text: There are 2 groups of order 6 (up to isomorphism)
negative_passages.docid: 126790
negative_passages.text: Basic Isomorphism Question
negative_passages.docid: 47720
negative_passages.text: Isomorphism from Natural numbers to the Odd Natural numbers
negative_passages.docid: 121449
negative_passages.text: An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
negative_passages.docid: 157806
negative_passages.text: Order of a element on a Symmetric Group
negative_passages.docid: 91222
negative_passages.text: Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
negative_passages.docid: 123677
negative_passages.text: Normal subgroups of infinite symmetric group
negative_passages.docid: 45179
negative_passages.text: When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
negative_passages.docid: 30236
negative_passages.text: isomorphic groups related in direct product.
negative_passages.docid: 128443
negative_passages.text: Isomorphism between finite groups
negative_passages.docid: 152662
negative_passages.text: Proving that any finite cyclic group of order $n$ is isomorphic to $$