query: Dummit and Foote 4.3.13: Find all the finite groups which have exactly two conjugacy classes.
positive_passages.docid: 28210
positive_passages.text: A finite group with exactly $2$ conjugacy classes isomorphic to $\mathbb{Z}_2$
negative_passages.docid: 59902
negative_passages.text: Example of $2$ non-isomorphic groups that have the same quotients
negative_passages.docid: 121423
negative_passages.text: Prove that every element of a finite group has an order
negative_passages.docid: 110018
negative_passages.text: Conjugacy classes in $A_n$.
negative_passages.docid: 115849
negative_passages.text: Are the Groups having all subgroups of same order conjugate classified?
negative_passages.docid: 47478
negative_passages.text: Show that any cyclic group of even order has exactly one element of order $2$
negative_passages.docid: 15341
negative_passages.text: Non-abelian finite group in which more than half of the elements have order $2$
negative_passages.docid: 138862
negative_passages.text: Product of all elements in an odd finite abelian group is 1
negative_passages.docid: 39425
negative_passages.text: Surprising but simple group theory result on conjugacy classes
negative_passages.docid: 92750
negative_passages.text: Groups where all elements are order 3
negative_passages.docid: 36147
negative_passages.text: A finite group is nilpotent iff two elements with relatively prime order commute
negative_passages.docid: 81231
negative_passages.text: Count the permutations which are products of exactly two disjoint cycles.
negative_passages.docid: 116125
negative_passages.text: A group $G$ with $G'$ abelian and every abelian normal subgroup finite
negative_passages.docid: 68551
negative_passages.text: character degrees of finite simple groups: an elementary question
negative_passages.docid: 15526
negative_passages.text: Question on groups of order $pq$
negative_passages.docid: 72048
negative_passages.text: Finding Sylow 2-subgroups of the dihedral group $D_n$
negative_passages.docid: 94296
negative_passages.text: Classifying the factor group $(\mathbb{Z} \times \mathbb{Z})/\langle (2, 2) \rangle$