Suppose that $(ab)^3 = a^3 b^3$ for all $a, b \in G$. Prove that G must be an abelian goup [Group Theory].
Answer
Answers can be viewed only if
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
Erdos
4.6K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- answered
- 493 views
- $5.00
Related Questions
- Rotational symmertries of octahedron, R($O_3$)
- Zariski Topology and Regular Functions on Algebraic Varieties in Affine Space
- Critique my proof (beginner)
- Given $|f(x) - f(y)| \leq M|x-y|^2$ , prove that f is constant.
- Homomorphism
- Operational Research probabilistic models
- Topic: Large deviations, in particular: Sanov's theorem
- Discrete Structures - Proving a statement true