query: For each positive integer $n \geq 3$, determine the centre of $D_{2n}$ (help for understand)
positive_passages.docid: 72767
positive_passages.text: Center of the dihedral group with odd and even number of vertices
negative_passages.docid: 59041
negative_passages.text: Centre of $GL_n(\mathbb R)$
negative_passages.docid: 72389
negative_passages.text: Positive integer $n$ such that $2n+1$ , $3n+1$ are both perfect squares
negative_passages.docid: 122156
negative_passages.text: An inequality concerning three positive numbers
negative_passages.docid: 78218
negative_passages.text: $A \in M_3(\mathbb Z)$ be such that $\det(A)=1$ ; then what is the maximum possible number of entries of $A$ that are even ?
negative_passages.docid: 147079
negative_passages.text: $\gcd\left(\binom{n}{k},n\right)>1$ for nontrivial values?
negative_passages.docid: 46158
negative_passages.text: A positive integer is divisible by $3$ iff 3 divides the sum of its digits
negative_passages.docid: 122386
negative_passages.text: How do I prove that $3$ divides $14^{2n}-1$ by induction?
negative_passages.docid: 104509
negative_passages.text: The center of $A_n$ is trivial for $n \geq 4$
negative_passages.docid: 11627
negative_passages.text: Find the center of the symmetry group $S_n$.
negative_passages.docid: 3694
negative_passages.text: Show $GCD(a_1, a_2, a_3, \ldots , a_n)$ is the least positive integer that can be expressed in the form $a_1x_1+a_2x_2+ \ldots +a_nx_n$
negative_passages.docid: 4333
negative_passages.text: Prove that if $a+b+c+d=4$, then $(a^2+3)(b^2+3)(c^2+3)(d^2+3)\geq256$
negative_passages.docid: 44076
negative_passages.text: Proving if $d_0$ is the smallest positive integer in $S$ then $d_0 = \gcd(a,b)$
negative_passages.docid: 48622
negative_passages.text: Given an integer $a$, suppose $d=\gcd(3a+5,\,5a+7)>2$. Determine $d$.
negative_passages.docid: 18140
negative_passages.text: When does $\,n\mid q^3 \Rightarrow n\mid q\,$?
negative_passages.docid: 100558
negative_passages.text: Prove that for any even positive integer $n$, $n^2-1 \mid 2^{n!}-1$
negative_passages.docid: 87760
negative_passages.text: Determine the diameter of a graph of order $n \geq 3$ where $\delta (G) \geq \frac{n-1}{2}$.