Question: "Let G=a. The smallest subgroup of G containing..."

College
Algebra
Abstract algebra

Quinten Crawford

Answered question

2022-02-15

Let

G = a

. The smallest subgroup of G containing

a^{8} and a^{12}

is generated by
1)
2)
3)
4)
Arithmetical subtraction (-) is binary relation on
1) N
2) Z+
3) Q
4) Z-

Answer & Explanation

prudomiajpt

Beginner2022-02-16Added 15 answers

Smallest subgroup $a^{m} and a^{n}$ is
$a^{gcd} (m, n) = a^{gcd} (8, 12) = a^{4}$
So option 2nd are correct
arithmetic subtraction is a binary relation on Q
so option 3 are correct

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