Automorphism example sentences

"Automorphism" Example Sentences

1. The professor explained the concept of automorphism in group theory.
2. Understanding automorphism is crucial for advanced algebra.
3. A key property of this structure is its rich set of automorphisms.
4. The paper focuses on the classification of automorphisms of finite groups.
5. Finding all automorphisms can be a computationally intensive task.
6. Inner automorphisms are a special type of automorphism.
7. Her research delves into the intricate world of graph automorphisms.
8. The automorphism group reveals valuable symmetries.
9. Is there a non-trivial automorphism of this object?
10. He presented a novel algorithm for computing automorphisms.
11. The identity mapping is a trivial automorphism.
12. Automorphisms play a vital role in many areas of mathematics.
13. We will explore the properties of automorphisms in detail.
14. The existence of a specific automorphism implies certain constraints.
15. Each automorphism corresponds to a symmetry of the structure.
16. This theorem characterizes groups with only inner automorphisms.
17. Automorphisms preserve the underlying structure.
18. They proved that the group admits only finitely many automorphisms.
19. The composition of two automorphisms is also an automorphism.
20. This problem is equivalent to determining the automorphism group.
21. His dissertation focused on the outer automorphisms of Lie algebras.
22. The automorphism group acts on the set of vertices.
23. Automorphism groups provide insights into structure.
24. Different automorphisms can yield different perspectives.
25. Understanding the automorphisms of a system aids its analysis.
26. The theory of automorphisms is deeply connected to representation theory.
27. The paper demonstrates a new method for finding the automorphism group.
28. Calculating the order of the automorphism group is a challenge.
29. Many applications rely on efficient automorphism algorithms.
30. The automorphisms of this object form a group.
31. The concept of automorphism extends to other algebraic structures.
32. Such automorphisms are rare and highly structured.
33. Determining the automorphism group is an active research area.
34. The study of automorphisms provides a powerful tool.
35. There are countless automorphisms in this infinite group.
36. No non-trivial automorphisms exist for this particular structure.
37. We use the properties of automorphisms to simplify the problem.
38. The automorphism group is isomorphic to a known group.
39. This automorphism is an involution.
40. The structure has a large number of distinct automorphisms.
41. The automorphism group is a finite group of order 12.
42. Advanced topics in abstract algebra cover automorphisms extensively.
43. The application of automorphisms is widespread in cryptography.
44. Exploring the automorphism group offers valuable insights.
45. Efficient automorphism algorithms are highly sought after.
46. The automorphism is uniquely determined by its action on generators.
47. Because of its symmetry, the automorphism group is quite large.
48. His research on automorphisms earned him international recognition.
49. The automorphism preserves the relationships between elements.
50. New techniques for computing automorphisms are constantly being developed.