Timeline for Number of homomorphism, or number of solution to equations, in finite groups
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 11, 2017 at 0:08 | comment | added | Ehud Meir | I see now that I made too much haste with this question. We can take the collection of groups $P=\mathbb{Z}/2^r$ and the group $G=S_3$. Then the number of homomorphisms will be $3\cdot 2^r - 2$. Then all the prime numbers $p$ for which $3\in\langle 2 \rangle$ in $(\mathbb{Z}/p)^{\times}$ will appear as prime divisors, and there are infinitely many such. | |
| Mar 11, 2017 at 0:00 | vote | accept | Ehud Meir | ||
| Mar 10, 2017 at 23:47 | comment | added | Ehud Meir | Thanks for this example. Do you have any insight about the second question? | |
| Mar 10, 2017 at 23:42 | history | answered | Jeremy Rickard | CC BY-SA 3.0 |