On the action of \(\text{GL}_2(\mathbb F_q)\) on irreducible polynomials over \(\mathbb F_q\)
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Publication:534003
DOI10.1016/j.jpaa.2010.10.015zbMath1239.12003OpenAlexW1250112088MaRDI QIDQ534003
Publication date: 10 May 2011
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.10.015
Finite fields (field-theoretic aspects) (12E20) Arithmetic theory of polynomial rings over finite fields (11T55)
Related Items (12)
Prescribing coefficients of invariant irreducible polynomials ⋮ On the multiplicative order of the roots of \(bX^{q^r + 1} - aX^{q^r} + dX - c\) ⋮ The action of \(\mathrm{GL}_2(\mathbb{F}_q)\) on irreducible polynomials over \(\mathbb{F}_q\), revisited ⋮ Factorization of a class of polynomials over finite fields ⋮ A group action on multivariate polynomials over finite fields ⋮ An extension of the (strong) primitive normal basis theorem ⋮ On the existence and number of invariant polynomials ⋮ Visibly Irreducible Polynomials over Finite Fields ⋮ Möbius-like maps on irreducible polynomials and rational transformations ⋮ MÖBIUS–FROBENIUS MAPS ON IRREDUCIBLE POLYNOMIALS ⋮ A search for c-Wieferich primes ⋮ Sequences of irreducible polynomials without prescribed coefficients over odd prime fields
Cites Work
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- On different families of invariant irreducible polynomials over \(\mathbb F_2\)
- The explicit construction of irreducible polynomials over finite fields
- On the construction of irreducible self-reciprocal polynomials over finite fields
- Explicit theorems on generator polynomials
- On some properties of self-reciprocal polynomials (Corresp.)
- Reversible codes
- Some theorems on irreducible reciprocal polynomials over a finite field.
- On irreducible polynomials of certain types in finite fields
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