Automorphisms example sentences

"Automorphisms" Example Sentences

1. Automorphisms are crucial in understanding the symmetries of algebraic structures.
2. The group of automorphisms can be quite complex.
3. Studying the automorphisms of a field reveals important properties.
4. We explored the inner automorphisms in detail.
5. Understanding automorphisms is essential for Galois theory.
6. The paper focuses on the classification of automorphisms.
7. Determining all automorphisms can be a challenging problem.
8. There are infinitely many automorphisms in this case.
9. His research primarily concerns automorphisms of groups.
10. The lecture covered various aspects of automorphisms.
11. Recent advancements in the study of automorphisms are significant.
12. This theorem describes the automorphisms of a specific structure.
13. Different types of automorphisms have distinct properties.
14. The outer automorphisms were less straightforward to analyze.
15. Finding the fixed points under the action of automorphisms is a key step.
16. The concept of automorphisms extends to many mathematical fields.
17. She proved a new result about the automorphisms of graphs.
18. Automorphisms, in this context, preserve the structure.
19. We characterized all possible automorphisms of the given group.
20. The presentation explained automorphisms clearly and concisely.
21. He is an expert on the automorphisms of Lie algebras.
22. Advanced automorphisms require a strong mathematical background.
23. The calculation of automorphisms can be computationally intensive.
24. This chapter focuses on the application of automorphisms to coding theory.
25. It's a fascinating exploration of the world of automorphisms.
26. The study of automorphisms is a rich and active area of research.
27. Knowing the automorphisms helps us understand the symmetry of the object.
28. The number of automorphisms is finite in this specific instance.
29. The proof relies heavily on the properties of the automorphisms.
30. This particular problem involves non-trivial automorphisms.
31. He dedicated his career to researching automorphisms and their applications.
32. Understanding group theory is essential for working with automorphisms.
33. The examples illustrate various types of automorphisms and their effects.
34. The book provides a thorough introduction to automorphisms.
35. Advanced topics include the study of outer automorphisms and their representations.
36. They successfully classified all the automorphisms of that structure.
37. His dissertation centers around the automorphisms of finite groups.
38. This algorithm efficiently computes the automorphisms of a given object.
39. The use of automorphisms simplifies the solution considerably.
40. New applications of automorphisms are continuously being discovered.
41. Several automorphisms can be simultaneously considered.
42. Without considering automorphisms, the problem would be intractable.
43. The impact of automorphisms on this field is immense.
44. Further research into automorphisms is needed in this area.
45. Exploring different types of automorphisms broadens our mathematical understanding.
46. The article explores various techniques for determining automorphisms.
47. Automorphisms are fundamental to many areas of modern mathematics.
48. The significance of automorphisms in this context cannot be overstated.
49. It's a very detailed study of automorphisms within a specific group.
50. The subtle nuances of automorphisms often require careful consideration.