query: Finitely generated group which is not finitely presented
positive_passages.docid: 147512
positive_passages.text: Is there difference between finitely presented groups and finitely generated groups?
negative_passages.docid: 93029
negative_passages.text: Prove that when $d$ is in $\mathbb{Q} \setminus\mathbb{Z}$, $\mathbb{Z}[\sqrt{d}]$ is not a finitely generated abelian group.
negative_passages.docid: 130706
negative_passages.text: Group presentations and the Dihedral Group
negative_passages.docid: 98474
negative_passages.text: Show the existence of a certain subgroup of F2
negative_passages.docid: 121141
negative_passages.text: Proving Finiteness of Group from Presentation
negative_passages.docid: 4383
negative_passages.text: Finitely generated monoids - how to show that there is not first order set axiomatizing them.
negative_passages.docid: 18182
negative_passages.text: An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
negative_passages.docid: 133770
negative_passages.text: Subgroups of finite abelian groups.
negative_passages.docid: 68672
negative_passages.text: Commutator subgroup of rank-2 free group is not finitely generated.
negative_passages.docid: 101735
negative_passages.text: A finite $p$-group cannot be simple unless it has order $p$
negative_passages.docid: 24181
negative_passages.text: Showing that $G$ is a group under an alternative operation.
negative_passages.docid: 35401
negative_passages.text: Examples of finite groups that are not a semidirect product
negative_passages.docid: 140553
negative_passages.text: An ideal which is not finitely generated
negative_passages.docid: 146560
negative_passages.text: Is there any uncountably infinite set that does not generate the reals?
negative_passages.docid: 70688
negative_passages.text: How can I prove that the additive group of rationals is not isomorphic to a direct product of two nontrivial groups?
negative_passages.docid: 30825
negative_passages.text: Infinite coproduct of abelian groups
negative_passages.docid: 80381
negative_passages.text: Groups with "few" subgroups