3 Questions
What is a simple group?
A simple group is a group that has no proper nontrivial normal subgroups
What is the Class Equation in Group Theory?
The Class Equation states that every element in a group belongs to a unique conjugacy class
Which of the following is a correct statement about a normal subgroup?
A normal subgroup is a subgroup that is closed under conjugation by elements of the group
Test your knowledge of group theory concepts including groups, subgroups, normal subgroups, quotient groups, homomorphisms, permutation groups, conjugacy, class equation, simple groups, and Sylow theorems.
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