Simple Group and some more definitions of Normal Subgroups - Chapter 6 - Lecture 2

We begin by defining a simple group which is a group with no proper non trivial normal subgroups. We use Lagrange's theorem to prove that a group of prime order has to be simple. We also urge the viewer to look for an example of a simple group of composite order. We next obtain an equivalent definition of a normal subgroup in terms of elements.

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