query: relationship between monomorphism and automorphism
positive_passages.docid: 150961
positive_passages.text: An example for a homomorphism that is not an automorphism
negative_passages.docid: 12455
negative_passages.text: $|G|>2$ implies $G$ has non trivial automorphism
negative_passages.docid: 89506
negative_passages.text: Union of disjoint sets : Equivalence relations
negative_passages.docid: 111168
negative_passages.text: Automorphisms of a finite non-abelian group
negative_passages.docid: 51695
negative_passages.text: Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$
negative_passages.docid: 118293
negative_passages.text: Strategy for determining the number of homomorphisms between two Groups
negative_passages.docid: 136167
negative_passages.text: Prove that structure $(Q/{0}; =;*)$ has infinite number of automorphisms
negative_passages.docid: 10350
negative_passages.text: Automorphisms of the complex plane
negative_passages.docid: 157597
negative_passages.text: Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
negative_passages.docid: 44361
negative_passages.text: An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
negative_passages.docid: 83872
negative_passages.text: Isomorphisms for graphs with loops and multiple edges
negative_passages.docid: 26416
negative_passages.text: Active versus passive transformations
negative_passages.docid: 140583
negative_passages.text: What does it mean for something to hold "up to isomorphism"?
negative_passages.docid: 146990
negative_passages.text: How to find the number of automorphisms on $\mathbb Z_2\times \mathbb Z_4$
negative_passages.docid: 93171
negative_passages.text: Polymorphism and casting
negative_passages.docid: 129062
negative_passages.text: Distinguishing definitions from equivalences.
negative_passages.docid: 135710
negative_passages.text: Cyclic Automorphism group