Mathematics · Abstract Algebra
A group G is said to be divisible if for every y ∈ G and for every positive integer n, there exists x ∈ G such that xn = y. Which of the following groups is divisible?
- 1The symmetric group S5
- 2The cyclic group of order 5
- 3ℤ with ordinary addition
- 4ℝ with ordinary addition✓
Correct answer
ℝ with ordinary addition
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