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2 votes
0 answers
66 views

A first course in abstract algebra Fraleigh 8th ed Section 5 Exercise 65

Cracker Barrel Restaurants place a puzzle called “Jump All But One Game” at each table. The puzzle starts with golf tees arranged in a triangle as in Figure 5.29a where the presence of a tee is noted ...
점시맙's user avatar
2 votes
0 answers
76 views

Applications of group theory/abstract algebra [duplicate]

Before voting down, I would this text to be read. This is not exactly a question regarding a hint to solve an exercise of a list or an exam, but a question involving the possible utility of which is ...
Emmy N.'s user avatar
  • 1,361
-1 votes
1 answer
272 views

What is the real life application of group theory other than coding and cryptography [duplicate]

What is the real life application of group theory other than coding and cryptography if any and how can one apply group theory to them.
Fagbile IfeOluwa's user avatar
1 vote
1 answer
551 views

What are the applications of nilpotent elements/nilpotent ideals?

As I am doing exercises related to group and ring theory I constantly see questions regarding nilpotent elements/ideals/groups. However, I have yet to see any practical use of them in theory, but I ...
muaddib's user avatar
  • 71
5 votes
3 answers
2k views

Real-world applications of fields, rings and groups in linear algebra.

Real-world applications of fields, rings and groups in linear algebra. A friend of mine asked me where one could use the definitions of rings, groups, fields etc. I was very embarrassed of the fact ...
Doesbaddel's user avatar
  • 1,197
1 vote
0 answers
378 views

Application of Jordan–Hölder theorem

Jordan–Hölder theorem can be used to prove the fundamental theorem of arithmetic. But I can only prove the uniqueness part of the theorem with Jordan–Hölder theorem. That every composite number is ...
Shiksharthi Sharma's user avatar
4 votes
4 answers
3k views

Applications of group theory to geometry

What are the applications of group theory to geometry? Where can I know more about these applications?
FNH's user avatar
  • 9,250
116 votes
8 answers
36k views

Are there real world applications of finite group theory?

I would like to know whether there are examples where finite group theory can be directly applied to solve real world problems outside of mathematics. (Sufficiently applied mathematics such as ...
Alexander Gruber's user avatar
  • 27.2k
12 votes
3 answers
7k views

What are applications of rings & groups?

I am following a course in basic algebra, and we have covered rings & groups in class, but I am having trouble visualising them. Are there applications of group &/or ring theory that can be ...
Émile Jetzer's user avatar
6 votes
3 answers
5k views

Group theory applications along with a solved example

As I asked in previous question, I am very curious about applying Group theory. Still I have doubts about how I can apply group theory. I know about formal definitions and I can able to solve and ...
EAGER_STUDENT's user avatar