query: Example of a symmetry and the group with which it is modelled?
positive_passages.docid: 27300
positive_passages.text: Is there a 1-1 correspondence between symmetry and group theory?
negative_passages.docid: 11627
negative_passages.text: Find the center of the symmetry group $S_n$.
negative_passages.docid: 85299
negative_passages.text: computing the orbits for a group action
negative_passages.docid: 151193
negative_passages.text: Simple subgroup of Symmetric Group
negative_passages.docid: 156247
negative_passages.text: Question about permutations and cycles (Groups and Symmetries)
negative_passages.docid: 59902
negative_passages.text: Example of $2$ non-isomorphic groups that have the same quotients
negative_passages.docid: 124245
negative_passages.text: How are groups with the same Lie Algebra inequivalent?
negative_passages.docid: 120155
negative_passages.text: How to show that this group presentation is isomorphic to dihedral group?
negative_passages.docid: 110102
negative_passages.text: Describing groups with given presentation? $\langle x,y\ |\ xy=yx,x^5=y^3\rangle$ and $\langle x,y\ |\ xy=yx,x^4=y^2\rangle$.
negative_passages.docid: 124933
negative_passages.text: Isometry group question
negative_passages.docid: 73382
negative_passages.text: A concrete example of involution in group theory
negative_passages.docid: 157806
negative_passages.text: Order of a element on a Symmetric Group
negative_passages.docid: 18181
negative_passages.text: Complete classification of the groups for which converse of Lagrange's Theorem holds
negative_passages.docid: 30425
negative_passages.text: How do we make symmetry assumptions rigorous?
negative_passages.docid: 35248
negative_passages.text: Getting started with Lie Groups
negative_passages.docid: 43326
negative_passages.text: Can every group be represented by a group of matrices?
negative_passages.docid: 152603
negative_passages.text: Group isomorphic to its automorphism group