Math Challenges

Submissions for Problem #48

\[ \text{Let }G=\lt x\gt\text{ be a cyclic group of order 144. How many elements are there in the subgroup }\lt x^{26}\gt? \]

zapwai

Solution: \( \)

Explanation:
gcd(26, 144) = 2 and 144/2 = 72. 72 elements in the cyclic group <x^26>.