Solution Found!
Suppose that G is an Abelian group of order 35 and every
Chapter 4, Problem 20E(choose chapter or problem)
Problem 20E
Suppose that G is an Abelian group of order 35 and every element of G satisfies the equation x35 = e. Prove that G is cyclic. Does your argument work if 35 is replaced with 33?
Questions & Answers
QUESTION:
Problem 20E
Suppose that G is an Abelian group of order 35 and every element of G satisfies the equation x35 = e. Prove that G is cyclic. Does your argument work if 35 is replaced with 33?
ANSWER:
Step 1 of 5
As is an abelian group order 35, the order of element will be,
For element with order 5 and element with order 7,
From the above result, order of divides the value 35. Then, the order of can be,