3
$\begingroup$

Is there an infinite finitely generated (non-cyclic) $p$-group $G$ such that the intersection of all nontrivial subgroups of $G$ is a nontrivial subgroup?

Improve this question
$\endgroup$
1

1 Answer 1

Reset to default
4
$\begingroup$

An example is given here. And here are some more words to make MO happy.

Improve this answer
$\endgroup$
1
  • $\begingroup$ thanks. there's a simple workaround for leaving MO unhappy, $\endgroup$
    – Minimus Heximus
    Jul 27, 2014 at 7:39

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

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