All Questions
Tagged with applications group-theory
7
questions
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 ...
- 27.2k
38
votes
8
answers
9k
views
Applications of the wreath product?
We recently went through the wreath product in my group theory class, but the definition still seems a bit unmotivated to me. The two reasons I can see for it are 1) it allows us to construct new ...
user8420
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 ...
- 223
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 ...
- 327
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?
- 9,250
3
votes
1
answer
1k
views
Graph (or Group) in Astronomy
Is there an application of graph theory (or group theory) in astronomy. If there is, refer me some references.
- 207
2
votes
1
answer
69
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Show that $\prod_{i=1}^{n}\text{Aut}(G_i)\to \text{Aut}\Big(\prod_{i=1}^{n}G_i\Big)$ is injective
Let $G_1,...,G_n$ be groups. Show that there exist an injective morphism $\xi:$$\prod_{i=1}^{n}\text{Aut}(G_i)\to \text{Aut}\Big(\prod_{i=1}^{n}G_i\Big)$. I would like to know if my proof holds, ...
- 1,677