Search Results - "Sutherland, Nicole"

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  1. 1

    Computing splitting fields using Galois theory and other Galois constructions by Fieker, Claus, Sutherland, Nicole

    Published in Journal of symbolic computation (01-05-2023)
    “…We describe algorithms to compute splitting fields and towers of radical extensions in which a polynomial splits, without using polynomial factorisation in…”
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    Journal Article
  2. 2

    Galois groups over rational function fields and Explicit Hilbert Irreducibility by Krumm, David, Sutherland, Nicole

    Published in Journal of symbolic computation (01-03-2021)
    “…Let P∈Q[t,x] be a polynomial in two variables with rational coefficients, and let G be the Galois group of P over the field Q(t). It follows from Hilbert's…”
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    Journal Article
  3. 3

    Computing Galois groups of polynomials (especially over function fields of prime characteristic) by Sutherland, Nicole

    Published in Journal of symbolic computation (01-11-2015)
    “…We describe a general algorithm for the computation of Galois groups of polynomials over global fields from the point of view of using it to compute Galois…”
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    Journal Article
  4. 4

    Efficient computation of maximal orders in Artin–Schreier–Witt extensions by Sutherland, Nicole

    Published in Journal of symbolic computation (01-11-2016)
    “…An efficient algorithm for computing S-maximal orders and maximal orders in Artin–Schreier–Witt extensions of global function fields from pseudo bases is…”
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    Journal Article
  5. 5

    Efficient computation of maximal orders in Artin–Schreier extensions by Sutherland, Nicole

    Published in Journal of symbolic computation (01-06-2013)
    “…We describe an algorithm, linear in the degree of the field, for computing pseudo bases for integral closures of holomorphy rings in Artin–Schreier extensions…”
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    Journal Article
  6. 6

    Efficient computation of maximal orders in radical (including Kummer) extensions by Sutherland, Nicole

    Published in Journal of symbolic computation (01-05-2012)
    “…We describe an algorithm, linear in the degree of the field, for computing a (pseudo) basis for P-maximal orders of radical (which includes Kummer) extensions…”
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    Journal Article
  7. 7

    Voice Amplification and Transformative Change by Sutherland, Nicole Courtney

    Published 01-01-2024
    “…This phenomenological study delves into the lived experiences of individuals addressing the importance of utilizing employees' knowledge and voices to better…”
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    Dissertation
  8. 8

    RNA binding proteins in spermatogenesis: an in depth focus on the Musashi family by Sutherland, Jessie M, Siddall, Nicole A, Hime, Gary R, McLaughlin, Eileen A

    Published in Asian journal of andrology (01-07-2015)
    “…Controlled gene regulation during gamete development is vital for maintaining reproductive potential. During the complex process of mammalian spermatogenesis,…”
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    Journal Article
  9. 9

    Constructions using Galois Theory by Fieker, Claus, Sutherland, Nicole

    Published 03-10-2020
    “…We describe algorithms to compute fixed fields, splitting fields and towers of radical extensions without using polynomial factorisation in towers or…”
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    Journal Article
  10. 10

    Galois groups over rational function fields and explicit Hilbert irreducibility by Krumm, David, Sutherland, Nicole

    Published 02-12-2019
    “…Let $P\in\mathbb Q[t,x]$ be a polynomial in two variables with rational coefficients, and let $G$ be the Galois group of $P$ over the field $\mathbb Q(t)$. It…”
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    Journal Article
  11. 11

    Existence results for primitive elements in cubic and quartic extensions of a finite field by Bailey, Geoff, Cohen, Stephen D, Sutherland, Nicole, Trudgian, Tim

    Published 17-10-2018
    “…Mathematics of Computation, Volume 88, Number 316, March 2019 With $\Fq$ the finite field of $q$ elements, we investigate the following question. If $\gamma$…”
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    Journal Article
  12. 12

    The Hasse Norm Principle in Global Function Fields by Mânzăţeanu, Adelina, Newton, Rachel, Ozman, Ekin, Sutherland, Nicole, Uysal, Rabia Gülşah

    Published 03-03-2020
    “…Let $L$ be a finite extension of $\mathbb{F}_q(t)$. We calculate the proportion of polynomials of degree $d$ in $\mathbb{F}_q[t]$ that are everywhere locally…”
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    Journal Article
  13. 13

    Primitive values of quadratic polynomials in a finite field by Booker, Andrew R, Cohen, Stephen D, Sutherland, Nicole, Trudgian, Tim

    Published 22-03-2018
    “…We prove that for all $q>211$, there always exists a primitive root $g$ in the finite field $\mathbb{F}_{q}$ such that $Q(g)$ is also a primitive root, where…”
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    Journal Article
  14. 14

    Linear combinations of primitive elements of a finite field by Cohen, Stephen, Silva, Tomás Oliveira e, Sutherland, Nicole, Trudgian, Tim

    Published 31-08-2018
    “…Finite Fields and Their Applications Volume 51, May 2018 We examine linear sums of primitive roots and their inverses in finite fields. In particular, we…”
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    Journal Article
  15. 15

    Reductions in adipose tissue mitochondrial content in high fat diet‐induced obesity and lean models of insulin resistance by Sutherland, Lindsey Nicole, Capozzi, Lauren C, Taylor, Donna J, Dunichand‐Hoedl, Abha R, Bell, Rhonda C, Wright, David C

    Published in The FASEB journal (01-03-2008)
    “…Abstract only Insulin resistance is associated with reductions in adipose tissue mitochondrial content. It is not known how rapidly these changes occur and how…”
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    Journal Article
  16. 16

    The potently neutralizing monoclonal antibody 1B7: Its unique epitope, effects on intracellular trafficking, and elicitation upon infection with pertussis by Sutherland, Jamie Nicole

    Published 01-01-2010
    “…Disease caused by Bordetella pertussis persists with rates increasing over the past decade in industrialized countries. A hindrance to vaccine development has…”
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    Dissertation
  17. 17

    Neo-nationalist ideology: a discourse theoretical approach to the snp and the csu by Sutherland, Claire Nicole

    Published 01-01-2002
    “…The concept of ideology's theory-building potential has been under-exploited in studies of contemporary nationalism. This study offers a novel approach to…”
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    Dissertation