All Questions
Tagged with applications group-theory
28
questions
1
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378
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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 ...
6
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1
answer
2k
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Applications of group theory to classical mechanics
Today, a friend and I solved a classical mechanics problem using group theory. The problem was the following:
Around a circumference, there are $N$ children evenly spaced. In the center, there is a ...
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2
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128
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What are the other methods used to prove that a homomorphism is bijective?
The motivation can be found in: Show that $ℤ^{m}$ is a subgroup (and a free abelian group) of $ℤ^{n}$ for all $m≤n$.
In a specified problem related to a dynamical system the only possibility is $m=n$...
- 3,021
2
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2
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What is the difference between the words chord, tangent in (a) and (b)?
(a) If a function $g$ is continuous on the closed interval $[u,v]$, where $u<v$, and differentiable on the open interval $(u,v)$, then there exists a point $c$ in $(u,v)$ such that
$$g(v)=g(u)+g′(...
- 3,021
3
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1
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Graph (or Group) in Astronomy
Is there an application of graph theory (or group theory) in astronomy. If there is, refer me some references.
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6
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1
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Quote on the Littlewood-Richardson Rule
In Gordon James's paper "The representation Theory of the Symmetric Group" he says
"The author was once told that the Littlewood–Richardson rule helped to get men on the moon but was not proved until ...
- 17.5k
4
votes
4
answers
3k
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Applications of group theory to geometry
What are the applications of group theory to geometry? Where can I know more about these applications?
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116
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8
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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
2
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Molecular vibrations and a generalisation of Wigner's rule for (non-finite) compact groups
years student of mathematics and write my script for my bachelor. The topic is "Representations of groups and applications in physics". I understand the representations very good but now i want to ...
12
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3
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7k
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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 ...
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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 ...
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38
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8
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9k
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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
6
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4
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recommend paper on application of group theory
Application field can vary from biology\biochemistry, to computer science\coding theory, the more unexpected a connection to a field, the better. And paper preferably should be not very large one.
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