query: Show $52$ has an inverse in the multiplicative group modulo $109$
positive_passages.docid: 2904
positive_passages.text: Solving linear congruence (modular inverse or fraction) via gcd Bezout equation
negative_passages.docid: 35034
negative_passages.text: Multiplicative inverses for $Z_n$
negative_passages.docid: 31917
negative_passages.text: If $q$ is coprime to $a$ then $a\mid nq-1,\,$ so $q$ is invertible mod $a$
negative_passages.docid: 141188
negative_passages.text: Groups of order $56$
negative_passages.docid: 75351
negative_passages.text: How to find inverse Modulo?
negative_passages.docid: 28957
negative_passages.text: Verifying that $2^{44}-1$ is divisible by $89$
negative_passages.docid: 1576
negative_passages.text: Finding the elements in the group of units of the ring of integers modulo n that are their own inverse.
negative_passages.docid: 73238
negative_passages.text: Show that $a^{q-1} \equiv 1 \pmod{pq}$
negative_passages.docid: 17601
negative_passages.text: How to prove that if $a\equiv b \pmod{kn}$ then $a^k\equiv b^k \pmod{k^2n}$
negative_passages.docid: 137739
negative_passages.text: Prove that the group isomorphism $\mathbb{Z}^m \cong \mathbb{Z}^n$ implies that $m = n$
negative_passages.docid: 145125
negative_passages.text: How to prove that $A^{-1} + B^{-1}$ is invertible given the conditions
negative_passages.docid: 93760
negative_passages.text: There is an element of order $51$ in the multiplicative group $(Z/103Z)^∗.$
negative_passages.docid: 127764
negative_passages.text: Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
negative_passages.docid: 18767
negative_passages.text: How do you find the modular inverse of $5\pmod{\!11}$
negative_passages.docid: 154944
negative_passages.text: Quadratic congruence in $ \mathbb{Z}/187\mathbb{Z},\ 187 =11\cdot 17 $
negative_passages.docid: 108330
negative_passages.text: Product of all elements in finite abelian group equals its own inverse
negative_passages.docid: 152630
negative_passages.text: showing that a group of order 45 is abelian