Sentences with AUTOMORPHISMS
Check out our example sentences below to help you understand the context.Sentences
1
"The group of automorphisms of a graph is the set of all bijective homomorphisms from the graph to itself."
2
"The study of automorphisms plays a crucial role in understanding the symmetries of mathematical structures."
3
"The automorphisms of a cube form the symmetric group of order 48."
4
"The automorphisms of a group form a new group isomorphic to the original group."
5
"In abstract algebra, automorphisms are used to study the structure and properties of algebraic objects."
6
"The concept of automorphisms extends to many areas of mathematics, including group theory and category theory."
7
"The automorphisms of a directed graph are bijections that preserve the direction of edges."
8
"Certain sets and structures have trivial automorphisms, meaning there are no non-trivial symmetries."
9
"The automorphisms of a permutation group are the bijections that preserve the group's structure."
10
"The automorphisms of a mathematical object often form a group under composition."
11
"Understanding the automorphisms of a system helps to identify its invariant properties."
1
"The automorphisms of a group form a mathematical structure."
2
"The study of automorphisms is important in group theory."
3
"Understanding automorphisms is essential in the study of symmetry."
4
"Certain automorphisms can be used to preserve specific properties of mathematical objects."
5
"The set of automorphisms of an object can form a group under composition."
