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Functions on an algebraic group in positive characteristic

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#algebraic-geometry #algebraic-groups #positive-characteristic
252
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Classifiying algebraic group extensions of $\mathbb{Z}/p\mathbb{Z}$ by $\mu_p$

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#group-theory #algebraic-geometry #galois-theory #algebraic-groups #positive-characteristic
132
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Frobenius action on the Picard group

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#algebraic-geometry #algebraic-curves #etale-cohomology #positive-characteristic
18
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Computing the p-rank of Divisor class group for function field

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#algorithms #divisors-algebraic-geometry #function-fields #positive-characteristic #analysis-of-algorithms
30
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Must the characteristic $d$ of a commutative ring $R$ contains all prime divisor of $|R|$

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#abstract-algebra #ring-theory #positive-characteristic
141
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Why $[F(x):F(x^2)]=2$ if F is a field of characteristic 2?

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#abstract-algebra #field-theory #extension-field #rational-functions #positive-characteristic
83
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Finite separable field extension of a non-perfect field $K$ of characteristic $p > 0$ that has degree divisible by $p$.

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#abstract-algebra #solution-verification #field-theory #separable-extension #positive-characteristic
112
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A perfect $\mathbb{F}_p$-algebra $A$ is formally étale

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#abstract-algebra #algebraic-geometry #commutative-algebra #positive-characteristic
40
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Connected topological division algebra over $\mathbb{F}_p$

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#general-topology #positive-characteristic #topological-rings
105
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Degree-$p$ étale covers of affine line

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#abstract-algebra #algebraic-geometry #irreducible-polynomials #algebraic-curves #positive-characteristic
23
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Does a polynomial $P(X,Y)$ that specializes to a polynomial $P(x_0,Y)$ with distincts roots in $\overline{k}$ has distincts roots in $\overline{k(X)}$

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#polynomials #field-theory #roots #positive-characteristic
25
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Extract the coefficients of formal Laurent series in characteristic $p$

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#derivatives #finite-fields #laurent-series #formal-power-series #positive-characteristic
11.6k
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How can a field have a finite characteristic $p$, given that a field has no zero divisors?

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#abstract-algebra #field-theory #positive-characteristic
196
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the positive square root of $I$?

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#positive-characteristic
82
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$F$ be a field of non-zero prime characteristic $p$ , is it true that there is only one group homomorphism $f:(F,+) \to (F$ \ $\{0\},.)$?

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#group-theory #field-theory #positive-characteristic

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