# Questions tagged [transfer-theory]

For questions about the transfer homomorphism in group theory and its applications.

32 questions
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### Convert from Incidence Matrix to State-Space, and then to Transfer Function

There is some scheme for low-pass filter: https://en.wikipedia.org/wiki/Low-pass_filter#/media/File:1st_Order_Lowpass_Filter_RC.svg When i use Graph Theory, i get Incidence Matrix for this scheme. ...
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### Prove of transfer functions in the Laplace and complex frequency domain

When we analyse electric circuits we often use transfer functions. To calculate the poles and zeros of such a function can be done in different ways. When we look to a transfer function in the Laplace ...
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### A question from Isaac's book “Finite group theory” about Transfer theory

Let $G$ be finite group and suppose that $P\in Sylp_p(G)$ and that $g\in P$ has order $p$. If $g\in G',$ but $g\notin P'$, Show that $g^t\in P'$ for some element $t\in G$ with $t\notin P$.($5.B1$) ...
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### Find Frequency Transfer Function

I have undamped oscilator which is described with following equation: $$\ddot{y}+\omega^2y=u$$ I need to find transfer function $$H(s)$$ and freguency transfer function for $$H(j\omega)$$ ......
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### An Intuitive Explanation of the Transfer Homomorphism

I just learned about the transfer homomorphism, and I am having trouble internalizing it. I am learning from 'A Course in the Theory of Groups', and I was hoping that perhaps someone had a more ...
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### What is the relationship between Mackey's theorem in character theory and Mackey's theorem in transfer theory?

Here are the statements of the two theorems. The first statement I took from a paper I have been reading, but I believe can also be found in Isaacs' Character Theory of Finite Groups as an exercise. ...
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### Easy proof of trivial fusion implies normal p-complement

Theorem: Suppose G is a finite group with Sylow p-subgroup P. Then the following are equivalent: The set K of elements of G of order relatively prime to p (the p′-elements) form a subgroup If A and ...