query: semi direct of quaternionic group
positive_passages.docid: 148950
positive_passages.text: Why is the generalized quaternion group $Q_n$ not a semi-direct product?
negative_passages.docid: 33868
negative_passages.text: A transformation between two free group actions.
negative_passages.docid: 24561
negative_passages.text: $\mathbb S_n$ as semidirect product
negative_passages.docid: 123860
negative_passages.text: When are two direct products of groups isomorphic?
negative_passages.docid: 12589
negative_passages.text: Show that every subgroup of the quaternion group Q is a normal subgroup of Q
negative_passages.docid: 58028
negative_passages.text: Semisimplicity is equivalent to each simple left module is projective?
negative_passages.docid: 120254
negative_passages.text: Nowhere commutative semigroups = rectangular bands?
negative_passages.docid: 151251
negative_passages.text: A simple algebra that is not semisimple
negative_passages.docid: 30236
negative_passages.text: isomorphic groups related in direct product.
negative_passages.docid: 89215
negative_passages.text: How to describe the quotient group $\mathbb{Z} \times \mathbb{Z} / \langle (1, 2) \rangle$
negative_passages.docid: 11000
negative_passages.text: Fundamental group of $\mathbb{R}^2 \setminus (\mathbb{Z} \times \{0\})$
negative_passages.docid: 27670
negative_passages.text: Group homomorphisms $\mathbb{Q}\to\mathbb{R}$
negative_passages.docid: 107452
negative_passages.text: Conversion of rotation matrix to quaternion
negative_passages.docid: 18182
negative_passages.text: An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
negative_passages.docid: 150854
negative_passages.text: Identifying a quotient group (NBHM-$2014$)
negative_passages.docid: 130792
negative_passages.text: Commutator of a group
negative_passages.docid: 90511
negative_passages.text: Commutator subgroup of a dihedral group.