query: How many elements of order 2 are there in $GF(p^r) \setminus \{0\}$?
positive_passages.docid: 144394
positive_passages.text: Order 2 elements in finite characteristic field
negative_passages.docid: 39096
negative_passages.text: Primitive elements of GF(8)
negative_passages.docid: 37012
negative_passages.text: The number of summands $\phi(n)$
negative_passages.docid: 142038
negative_passages.text: Finding the number of elements of order two in the symmetric group $S_4$
negative_passages.docid: 145354
negative_passages.text: What is $\gcd(0,0)$?
negative_passages.docid: 61550
negative_passages.text: Existence of elements of order $p^k$ in a finite group
negative_passages.docid: 33894
negative_passages.text: How many chains are there in a finite power set?
negative_passages.docid: 136736
negative_passages.text: Is there a $(6,9,3)_2$ code?
negative_passages.docid: 74924
negative_passages.text: identity element of $(D_n ,\gcd)$
negative_passages.docid: 110464
negative_passages.text: Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$
negative_passages.docid: 83542
negative_passages.text: A natural problem in $\textrm{S}_2^\textrm{P}$?
negative_passages.docid: 115583
negative_passages.text: prove that $a^2(p-q)(p-r)+b^2(q-p)(q-r)+c^2(r-p)(r-q)\ge 0$
negative_passages.docid: 48268
negative_passages.text: How many $\alpha \in S_n$ are such that $\alpha^2 = 1$?
negative_passages.docid: 56607
negative_passages.text: gcd and order of elements of group
negative_passages.docid: 17178
negative_passages.text: Order of $\phi(g)$ divides the order of $g$
negative_passages.docid: 52121
negative_passages.text: Let $G$ be a finite group with $|G|>2$. Prove that ${\rm Aut}(G)$ contains at least two elements.
negative_passages.docid: 92672
negative_passages.text: Number of elements which are cubes/higher powers in a finite field.