query: Proving an inclusion for the derived group
positive_passages.docid: 153250
positive_passages.text: Finding the derived group
negative_passages.docid: 24561
negative_passages.text: $\mathbb S_n$ as semidirect product
negative_passages.docid: 93169
negative_passages.text: Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
negative_passages.docid: 59134
negative_passages.text: Proving idempotent elements in $\mathbb{Z}_n$
negative_passages.docid: 73382
negative_passages.text: A concrete example of involution in group theory
negative_passages.docid: 46116
negative_passages.text: Proof of the First Isomorphism Theorem for Groups
negative_passages.docid: 133884
negative_passages.text: A proof using Yoneda lemma
negative_passages.docid: 62879
negative_passages.text: Question about the proof of $GCH$ holds in $\mathbf L$
negative_passages.docid: 144211
negative_passages.text: a second course in abstract algebra
negative_passages.docid: 126930
negative_passages.text: Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
negative_passages.docid: 43832
negative_passages.text: Which groups are derived subgroups?
negative_passages.docid: 72295
negative_passages.text: A difficulty in understanding the proof of distributivity of tensor products over direct sums for modules.
negative_passages.docid: 130081
negative_passages.text: Show that $A_n$ is the kernel of a group homomorphism of $S_n \rightarrow \{−1,1\}$.
negative_passages.docid: 69160
negative_passages.text: Show that the functor that takes $R$ to the set of invertible elements of $R[X]/(X^2-a)$ is representable.
negative_passages.docid: 114662
negative_passages.text: Construction of a specific non-commutative and infinite group (with conditions on the order of the elements)
negative_passages.docid: 4240
negative_passages.text: The proof of Triple Vector Products
negative_passages.docid: 108742
negative_passages.text: Proving commutativity of addition for vector spaces