query: Constructing the group multiplication table for $|G| = 6$
positive_passages.docid: 152820
positive_passages.text: Every element of a group has order $2$. Why, intuitively, is it abelian?
negative_passages.docid: 87823
negative_passages.text: GAP: how to work with elements of the group ring of the symmetric group $\mathbb{C}[S_k]$?
negative_passages.docid: 40848
negative_passages.text: $a\mid b,c\mid d\Rightarrow\,\gcd(a,c)\mid \gcd(b,d)$
negative_passages.docid: 8483
negative_passages.text: A Particular Two-Variable System in a Group
negative_passages.docid: 87946
negative_passages.text: Proving that the unities of a ring form a group under multiplication
negative_passages.docid: 42469
negative_passages.text: Find all groups of order $6$.
negative_passages.docid: 142038
negative_passages.text: Finding the number of elements of order two in the symmetric group $S_4$
negative_passages.docid: 59898
negative_passages.text: Elementary manipulation with elements of group
negative_passages.docid: 39540
negative_passages.text: Efficient Algorithm for finding left (or right) Transversal in a Group
negative_passages.docid: 152306
negative_passages.text: Finding homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{6}$.
negative_passages.docid: 130706
negative_passages.text: Group presentations and the Dihedral Group
negative_passages.docid: 123710
negative_passages.text: Find eight elements in $S_6$ that commute with $(12)(34)(56)$
negative_passages.docid: 153250
negative_passages.text: Finding the derived group
negative_passages.docid: 9422
negative_passages.text: Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
negative_passages.docid: 141188
negative_passages.text: Groups of order $56$
negative_passages.docid: 129500
negative_passages.text: Determinant of the character table of a finite group $G$
negative_passages.docid: 15210
negative_passages.text: Group of order 6 proof