Question

Show that, if G is a finite group and equationFurther, show that equation equation  Deduce the Euler-Fermat theorem equation  equation

29 Apr 2025
Answer :
Word Count : 159
Let $G$ be a finite group and $a\in G$. Consider the cyclic subgroup generated by $a$, $\langle a\rangle=\{a^k:k\in\mathbb Z\}$. By definition $\langle a\rangle$ is a subgroup of $G$ and its order is the order of the element $a$, denoted ___ _____ _________ _________ _______ _____ _____ _______ _________ _______ _________ _____.
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