Every group is isomorphic to a subset of the a group with this name according to Cayley's theorem.
A group with this name can be represented by Specht modules or by Young tableaux with n boxes and n distinct entries. Every group is isomorphic to a subset of the a group with this name according to Cayley's theorem. Groups of this name have subgroups of half their size generated by transpositions called alternating groups. This adjective describes matrices that are equal to their own transpose as well as groups consisting of all permutations of a fixed set of elements. Equivalence relations are reflexive, transitive, and have a property with this name, which states that x and y are related whenever y and x are. For 10 points, give this term for lines that divide a region into mirror images.
A group with this name can be represented by Specht modules or by Young tableaux with n boxes and n distinct entries.
symmetric groups [accept symmetry; accept Sn or S-sub-n; prompt on permutation groups] &lt;Thompson&gt;