bhapi

### Questions (205)

 5 Minimum polynomial of a root involving the 7th root of unity 4 Finding the minimal polynomial of $2\sqrt[3]{3}+\sqrt[3]{4}$ in the most efficient way . 4 Are the following subsets open wrt the metric topology? 3 Two questions regarding this proof from my notes which shows that if $H$ is normal in $G$ and $G$ is solvable then $\tfrac{G}{H}$ is solvable 3 Galois $\text{GF}(5)$, does $α^4=2$ make any sense?

### Reputation (1,128)

 +5 confusion about the difference between the $\Bbb R$-minimal polynomial of $\alpha$ and the $\Bbb Q$-minimal polynomial +5 Showing this Galois group is isomorphic to $\Bbb Z_4$ by examining the nature of its automorphisms. +5 None of the methods I know to factor cubics are working here … +10 Why is the sum function of power series equal to $a_0$ for $z=z_0$?

 3 What does the question mean by 'find all the possible values' of $\int_{\gamma}\frac{1}{z}$ 1 Am I correct in my understanding of the importance of homotopy in my proof? 1 Why is the sum function of power series equal to $a_0$ for $z=z_0$? 0 Help understanding what's needed in this proof to show that H is a subgroup. 0 Galois $\text{GF}(5)$, does $α^4=2$ make any sense?

### Tags (134)

 4 complex-analysis × 36 1 proof-writing × 18 4 integration × 11 1 sequences-and-series × 7 3 contour-integration × 9 1 power-series × 5 3 parametrization × 2 1 winding-number × 4 1 proof-verification × 26 1 convergence × 3

### Accounts (15)

 Mathematics 1,128 rep 417 Quantum Computing 313 rep 8 Worldbuilding 191 rep 3 Physics 141 rep 8 French Language 111 rep 4