Hw11 Problem 11

Return to Homework 11, Glossary, Theorems

Problem 11

(+) Describe the center of every $simple$

(a) abelian group
(b) nonabelian group


(a) The center is the whole group because every element commutes.
(b) The center is $\{e\}$, because the center is a normal subgroup and the group is simple.

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