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edited Apr 13, 2017 at 12:58

I believe the following statement is true, and I've even seen it referenced here here. Could someone point me to a proof?

The fundamental group of a closed hyperbolic 3-manifold is not a free product.

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asked Mar 9, 2011 at 2:00

Fundamental groups of closed hyperbolic 3-manifolds are freely indecomposable

I believe the following statement is true, and I've even seen it referenced here. Could someone point me to a proof?

The fundamental group of a closed hyperbolic 3-manifold is not a free product.