2012-30.md

course	course_year	question_number	tags	title	year
Groups, Rings and Modules	IB	30	IB 2012 Groups, Rings and Modules	Paper 2, Section I, $2 G$	2012

What does it mean to say that the finite group $G$ acts on the set $\Omega$ ?

By considering an action of the symmetry group of a regular tetrahedron on a set of pairs of edges, show there is a surjective homomorphism $S_{4} \rightarrow S_{3}$.

[You may assume that the symmetric group $S_{n}$ is generated by transpositions.]