Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Question: is a quotient of a finitely generated torsion free abelian group still torsion free ?

share|improve this question
4  
No, you can consider $2\mathbb Z$ as subgroup of $\mathbb Z$. –  Babak Miraftab Apr 16 '13 at 11:34

1 Answer 1

up vote 0 down vote accepted

Provided that the subgroup you quotient out by is pure, then yes it is.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.