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An isomorphism between $\mathbb F_2(\alpha )$ and $\mathbb F_2(\beta )$.

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#field-theory #finite-fields #extension-field
55
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Find the matrix of a transformation over the finite field $\mathbb{F}_2$

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#linear-algebra #matrices #finite-fields
41
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Deterministic methods in maths?

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#finite-fields #irreducible-polynomials
351
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Roots of irreducible polynomial in finite field

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#abstract-algebra #finite-fields
284
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Bezout's identity in finite fields

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#number-theory #finite-fields #gcd-and-lcm
161
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Killing form over finite fields

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#lie-algebras #finite-fields #bilinear-form
70
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Is there as much monic irreducible polynomial than irreducible polynomial in a finite field?

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#finite-fields #irreducible-polynomials
46
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the polynomials $g_Q(x)$ and $g_N(x)$ belong to $\mathbb{F}_l[x].$

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#finite-fields #coding-theory #quadratic-residues
53
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A question relating to cuspidal representations of ${\rm GL}_2(\mathbb{F}_{p})$

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#field-theory #representation-theory #finite-fields
535
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What is the meaning of the phrase "Up to isomorphism " in Abstract Algebra?

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#abstract-algebra #group-theory #ring-theory #finite-fields
755
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How to prove this formula for the Legendre symbol for a finite field

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#number-theory #finite-fields #legendre-symbol
102
Views

Why does $(a+1)(a+1)=a$ within a field $F_4$

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#field-theory #finite-fields
309
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Application of Cauchy-Davenport

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#combinatorics #number-theory #finite-fields #abelian-groups #additive-combinatorics
204
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Ideal prime to $f$ iff the norm of the ideal is relatively prime to $f$

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#ring-theory #algebraic-number-theory #ideals #finite-fields #proof-explanation
941
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Elements in $GF(2)[x]$ and why $GF(4)=GF(2)[x]/(f)=\{0,1,x,x+1\}$

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#abstract-algebra #polynomials #finite-fields #irreducible-polynomials

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