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Find the number of homomorphism

Groups, Rings, Domains, Modules, etc, Galois theory
Ram_1729
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Find the number of homomorphism

How to find the number of homomorphism of these
a)$$Q_8\to K_4$$
b)$$K_4\to S_n(n\neq 4)$$
c)$$K_4\to S_4$$
Riemann
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Location: Melbourne, Australia

Re: Find the number of homomorphism

Hi Ram_1729. Could you explain what $Q_8$ and $K_4$ stand for?
$\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^s}= \prod_{p \; \text{prime}}\frac{1}{1-p^{-s}}$