MAT301H1 Lecture Notes - Lecture 1: Permutation Group, Coprime Integers
Document Summary
Mat 301 groups and symmetry - problem set 1. Note: students are expected to write up solutions independently. Show that the group of all invertible maps of x to itself is not abelian: explicitly listing all possible cayley tables, or otherwise, show that any group of order 4 is isomorphic either to z4, or to z . 5. (a) let v4 be the set of permutations s4 which have the following property: either = e, or there exist distinct i, j, k, l {1, 2, 3, 4} such that (i) = j, 8: is there n such that z .
