query: example of infinite solvable groups
positive_passages.docid: 155502
positive_passages.text: Index of a maximal subgroup in a finite group
negative_passages.docid: 46263
negative_passages.text: Automorphisms of infinite abelian groups
negative_passages.docid: 108309
negative_passages.text: An example of a non-abelian group of order $p^3$
negative_passages.docid: 99309
negative_passages.text: Groups of order $n^2$ that have no subgroup of order $n$
negative_passages.docid: 8066
negative_passages.text: Sort-of-simple non-Hopfian groups
negative_passages.docid: 97904
negative_passages.text: Example of infinite field of characteristic $p\neq 0$
negative_passages.docid: 135701
negative_passages.text: An example of a group such that $G \cong G \times G$
negative_passages.docid: 113925
negative_passages.text: Normal Subgroup Counterexample
negative_passages.docid: 73382
negative_passages.text: A concrete example of involution in group theory
negative_passages.docid: 116628
negative_passages.text: Example of Galois extension whose Galois group is $A_4$
negative_passages.docid: 42774
negative_passages.text: Examples of involutions on $\mathbb{R}$
negative_passages.docid: 88726
negative_passages.text: Problem about solvable groups
negative_passages.docid: 117479
negative_passages.text: Mutual set of representatives for left and right cosets: what about infinite groups?
negative_passages.docid: 29003
negative_passages.text: Is the dihedral group $D_n$ nilpotent? solvable?
negative_passages.docid: 8746
negative_passages.text: Groups of order $pq$ without using Sylow theorems
negative_passages.docid: 126426
negative_passages.text: Does every infinite finitely generated group contains an element of infinite period?
negative_passages.docid: 108664
negative_passages.text: Sufficient and necessary conditions to get an infinite fiber $g^{-1}(w)$