Abstract Algebra: Theory and Applications · Problem 10.3.1

Homomorphisms — Thomas Judson

Mathematics — Abstract Algebra · normal-subgroups-cosets

Problem

Let GG be the group of symmetries of an equilateral triangle, expressed as permutations of the vertices numbered 1,2,31, 2, 3. Let HH be the subgroup H=⟨(1 2)⟩H = \langle (1\,2) \rangle. Build the left and right cosets of HH in GG.

Related theory

Browse the problem library