Presentation theory of alternating group:A4

This article discusses various presentations of the alternating group of degree four.

As a von Dyck group
The alternating group of degree four is a von Dyck group corresponding to the triple $$(3,3,2)$$. In other words, it is given by the presentation:

$$\langle a,b,c \mid a^3 = b^3 = c^2 = abc = 1 \rangle$$.