Let G be a finite group, let H be a subgroup of G, and let
Chapter 29, Problem 14E(choose chapter or problem)
Problem 14E
Let G be a finite group, let H be a subgroup of G, and let S be the set of left cosets of H in G. For each g in G, let γg denote the element of sym(S) defined by γg(xH) = gxH. Show that G acts on S under the action g → γg.
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