Search Results - "Sutherland, Nicole"
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1
Computing splitting fields using Galois theory and other Galois constructions
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
Galois groups over rational function fields and Explicit Hilbert Irreducibility
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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3
Computing Galois groups of polynomials (especially over function fields of prime characteristic)
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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4
Efficient computation of maximal orders in Artin–Schreier–Witt extensions
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
Efficient computation of maximal orders in Artin–Schreier extensions
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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6
Efficient computation of maximal orders in radical (including Kummer) extensions
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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7
Voice Amplification and Transformative Change
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
RNA binding proteins in spermatogenesis: an in depth focus on the Musashi family
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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9
Constructions using Galois Theory
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
Galois groups over rational function fields and explicit Hilbert irreducibility
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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11
Existence results for primitive elements in cubic and quartic extensions of a finite field
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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12
The Hasse Norm Principle in Global Function Fields
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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13
Primitive values of quadratic polynomials in a finite field
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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14
Linear combinations of primitive elements of a finite field
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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15
Reductions in adipose tissue mitochondrial content in high fat diet‐induced obesity and lean models of insulin resistance
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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16
The potently neutralizing monoclonal antibody 1B7: Its unique epitope, effects on intracellular trafficking, and elicitation upon infection with pertussis
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 -
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Neo-nationalist ideology: a discourse theoretical approach to the snp and the csu
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