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Prof Nigel Byott

Publications

_{Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.}

| 2024 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2002 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 |

2024

• Byott NP, Ferri F. (2024) On the number of quaternion and dihedral braces and Hopf--Galois structures. [PDF]
• Byott NP. (2024) On insoluble transitive subgroups in the holomorph of a finite soluble group, Journal of Algebra, volume 638, pages 1-31, DOI:10.1016/j.jalgebra.2023.10.001. [PDF]

2022

• Byott NP. (2022) On Insoluble Transitive Subgroups in the Holomorph of a Finite Soluble Group. [PDF]

2021

• Byott NP, Martin-Lyons I. (2021) Hopf-Galois Structures on Non-Normal Extensions of Degree Related to Sophie Germain Primes, DOI:10.48550/arxiv.2102.05759.

2020

• Alabdali AA, Byott NP. (2020) Hopf-Galois Structures of Squarefree Degree, Journal of Algebra, volume 559, pages 58-86, DOI:10.1016/j.jalgebra.2020.04.019. [PDF]

2019

• Alabdali AA, Byott NP. (2019) Hopf-Galois Structures of Squarefree Degree, DOI:10.48550/arxiv.1910.07811.
• Alabdali AA, Byott NP. (2019) Skew Braces of Squarefree Order, DOI:10.48550/arxiv.1910.07814.

2018

• Byott N, Smoktunowicz A, Vendramin L. (2018) On skew braces (with an appendix by N. Byott and L. Vendramin), Journal of Combinatorial Algebra, volume 2, no. 1, pages 47-86, DOI:10.4171/JCA/2-1-3.
• Byott NP, Childs LN, Elder GG. (2018) Scaffolds and Generalized Integral Galois Module Structure, Annales de l'Institut Fourier. [PDF]

2017

• Alabdali AA, Byott NP. (2017) Counting Hopf-Galois Structures on Cyclic Field Extensions of Squarefree Degree, DOI:10.48550/arxiv.1703.09636.

2016

• Byott N. (2016) GALOIS THEORIES (Cambridge Studies in Advanced Mathematics 72), Bulletin of the London Mathematical Society, volume 34, no. 3, pages 376-378, DOI:10.1112/s0024609302221141.
• Byott NP, Lin C, Zhang Y. (2016) On the mixing properties of piecewise expanding maps under composition with permutations, II: Maps of non-constant orientation, Stochastics and Dynamics, volume 16, no. 03, pages 1660013-1660013, DOI:10.1142/s0219493716600133. [PDF]

2015

• Byott NP. (2015) Solubility criteria for Hopf-Galois structures, New York Journal of Mathematics, volume 21, pages 883-903.

2014

• Byott NP. (2014) Solubility Criteria for Hopf-Galois Structures, DOI:10.48550/arxiv.1412.5923.
• Byott NP, Lin C, Zhang Y. (2014) On the mixing properties of piecewise expanding maps under composition with permutations, II: Maps of non-constant orientation, DOI:10.48550/arxiv.1405.0481.

2013

• Byott NP, Elder GG. (2013) Sufficient Conditions for Large Galois Scaffolds, DOI:10.48550/arxiv.1308.2092.
• Byott NP, Childs LN, Elder GG. (2013) Scaffolds and Generalized Integral Galois Module Structure, DOI:10.48550/arxiv.1308.2088.
• Byott NP. (2013) Nilpotent and abelian Hopf-Galois structures on field extensions, Journal of Algebra, volume 381, pages 131-139, DOI:10.1016/j.jalgebra.2013.02.008.
• Byott NP, Holland M, Zhang Y. (2013) On the mixing properties of piecewise expanding maps under composition with permutations, Discrete and Continuous Dynamical Systems- Series A, volume 33, no. 8, pages 3365-3390, DOI:10.3934/dcds.2013.33.3365.
• Byott NP, Sodaigui B. (2013) Realizable Galois module classes over the group ring for non abelian extensions, Annales de l'institut Fourier, volume 63, no. 1, pages 303-371.
• Byott NP, Elder GG. (2013) Galois scaffolds and Galois module structure in extensions of characteristic p local fields of degree ^p2, Journal of Number Theory, volume 133, no. 11, pages 3598-3610, DOI:10.1016/j.jnt.2013.04.021.

2012

• Byott NP. (2012) Nilpotent and abelian Hopf-Galois structures on field extensions, DOI:10.48550/arxiv.1210.1693.
• Byott NP, Holland M, Zhang Y. (2012) On the mixing properties of piecewise expanding maps under composition with permutations, DOI:10.48550/arxiv.1203.5145.
• Byott NP, Childs LN. (2012) Fixed-point free pairs of homomorphisms and nonabelian Hopf-Galois structure, The New York Journal of Mathematics, volume 18, pages 707-731.

2011

• Byott NP, Elder GG. (2011) Galois scaffolds and Galois module structure in extensions of characteristic $p$ local fields of degree $p^2$, DOI:10.48550/arxiv.1106.3577.
• Byott NP. (2011) A Valuation Criterion for Normal Basis Generators of Hopf-Galois Extensions in Characteristic p, Journal de theorie des nombres de bordeaux, volume 23, no. 1, pages 59-70.
• Byott NP, Carter JE, Greither C, Johnston H. (2011) On the restricted Hilbert-Speiser and Leopoldt properties, Illinois Journal of Mathematics, volume 55, no. 2, pages 623-639.

2009

• Byott NP, Elder GG. (2009) Integral Galois Module Structure for Elementary Abelian Extensions with a Galois Scaffold, DOI:10.48550/arxiv.0908.4562.
• Byott NP. (2009) A Valuation Criterion for Normal Basis Generators of Hopf-Galois Extensions in Characteristic p, DOI:10.48550/arxiv.0905.3085.
• Byott NP, Elder GG. (2009) On the necessity of new ramification breaks, Journal of Number Theory, volume 129, no. 1, pages 84-101, DOI:10.1016/j.jnt.2008.07.011.

2008

• Byott NP. (2008) On the integral Galois module structure of cyclic extensions of p-adic fields, Quarterly Journal of Mathematics, volume 59, no. 2, pages 149-162, DOI:10.1093/qmath/ham037.
• Trovati M, Ashwin P, Byott NP. (2008) Packings induced by piecewise isometries cannot contain the Arbelos, Discrete and Continuous Dynamical Systems, volume 22, no. 3, pages 791-806.

2007

• Byott NP, Elder GG. (2007) On the necessity of new ramification breaks, DOI:10.48550/arxiv.0704.3951.
• Byott NP. (2007) Hopf-Galois structures on almost cyclic field extensions of 2-power degree, Journal of Algebra, volume 318, no. 1, pages 351-371, DOI:10.1016/j.jalgebra.2007.04.010.
• Byott NP, Elder GG. (2007) A valuation criterion for normal bases in elementary abelian extensions, Bulletin of the London Mathematical Society, volume 39, no. 5, pages 705-708, DOI:10.1112/blms/bdm036.

2006

• Byott NP, Elder GG. (2006) A valuation criterion for normal bases in elementary abelian extensions, DOI:10.48550/arxiv.math/0605011.
• Byott NP, Greither C, Sodaigui B. (2006) Classes realisables d'extensions non abeliennes, Journal fur die reine und angewandte Mathematik (Crelles Journal), volume 2006, no. 601, pages 1-27, DOI:10.1515/CRELLE.2006.093.

2005

• Sodaigui, B.. (2005) Realizable Galois module classes for tetrahedral extensions, Compositio Mathematica, volume 141, no. 3, pages 573-582.
• Byott NP, Sodaïgui B. (2005) Galois module structure for dihedral extensions of degree 8: Realizable classes over the group ring, Journal of Number Theory, volume 112, no. 1, pages 1-19, DOI:10.1016/j.jnt.2005.01.003.
• Byott NP, Elder GG. (2005) New ramification breaks and additive Galois module structure, Journal de theorie des nombres de Bordeaux, volume 17, no. 1, pages 87-107.

2004

• Byott NP. (2004) Hopf-Galois structures on field extensions with simple Galois groups, Bulletin of the London Mathematical Society, volume 36, no. 1, pages 23-29, DOI:10.1112/S0024609303002595.
• Byott NP. (2004) Hopf-Galois structures on Galois field extensions of degree pq, Journal of Pure and Applied Algebra, volume 188, no. 1-3, pages 45-57, DOI:10.1016/j.jpaa.2003.10.010.
• Byott, N.P.. (2004) Monogenic Hopf orders and associated orders of valuation rings, Journal of Algebra, volume 275, no. 2, pages 575-599.

2002

• Byott NP. (2002) Integral Hopf-Galois structures on degree p2 extensions of p-adic fields, Journal of Algebra, volume 248, no. 1, pages 334-365, DOI:10.1006/jabr.2001.9053.
• Byott NP, Elder GG. (2002) Biquadratic extensions with one break, Canadian Mathematical Bulletin, volume 45, no. 2, pages 168-179, DOI:10.4153/CMB-2002-020-3.

2000

• Byott NP. (2000) Picard invariants of Galois algebras over dual Larson Hopf orders, Proceedings of the London Mathematical Society, volume 80, no. 1, pages 1-30, DOI:10.1112/S0024611500012417.
• Byott NP. (2000) Galois module structure and Kummer theory for Lubin-Tate formal groups, Algebraic Number Theory and Diophantine Analysis, Graz, 30th Aug - 5th Sep 1998.

1999

• Byott NP. (1999) Integral Galois module structure of some Lubin-Tate extensions, Journal of Number Theory, volume 77, no. 2, pages 252-273, DOI:10.1006/jnth.1999.2385.
• Byott NP, Chapman RJ. (1999) Power sums over finite subspaces of a field, FINITE FIELDS TH APP, volume 5, no. 3, pages 254-265.

1998

• Byott NP. (1998) Tame Realisable Classes over Hopf Orders, Journal of Algebra, volume 201, no. 1, pages 284-316, DOI:10.1006/jabr.1997.7247.

1997

• Byott NP. (1997) Galois structure of ideals in wildly ramified abelian p-extensions, Journal de theorie des nombres de Bordeaux, volume 9, no. 1, pages 201-219.
• Byott NP. (1997) Associated orders of certain extensions arising from Lubin-Tate formal groups, Journal de theorie des nombres de Bordeaux, volume 9, no. 2, pages 449-462.
• Byott NP. (1997) Two constructions with galois objects, Communications in Algebra, volume 25, no. 11, pages 3513-3520, DOI:10.1080/00927879708826066.

1996

• Byott NP, Lettl G. (1996) Relative Galois module structure of integers in abelian extensions, Journal de theorie des nombres de Bordeaux, volume 8, no. 1, pages 125-141.
• Byott NP. (1996) Uniqueness of Hopf galois structure for separable field extensions, Communications in Algebra, volume 24, no. 10, pages 3217-3228, DOI:10.1080/00927879608825743.
• Byott NP. (1996) Uniqueness of Hopf Galois structure for separable field extensions (vol 24, pg 3217, 1996), COMMUN ALGEBRA, volume 24, no. 11, pages 3705-3705.

1995

• Byott NP. (1995) Tame and galois extensions with respect to hopf orders, Mathematische Zeitschrift, volume 220, no. 1, pages 495-522, DOI:10.1007/BF02572628.
• BYOTT NP. (1995) TAME AND GALOIS EXTENSIONS WITH RESPECT TO HOPF ORDERS, MATHEMATISCHE ZEITSCHRIFT, volume 220, no. 4, pages 495-522, DOI:10.1007/BF02572628. [PDF]
• Byott NP. (1995) Hopf orders and a generalization of a theorem of L. R. McCulloh, Journal of Algebra, volume 177, no. 2, pages 409-433, DOI:10.1006/jabr.1995.1305.
• Byott NP. (1995) Local Galois module structure and Hopf orders, PROCEEDINGS OF THE 2ND GAUSS SYMPOSIUM - CONFERENCE A: MATHEMATICS AND THEORETICAL PHYSICS, pages 249-255. [PDF]

1994

• BYOTT NP. (1994) SOME SELF-DUAL LOCAL-RINGS OF INTEGERS NOT FREE OVER THEIR ASSOCIATED ORDERS (VOL 110, PG 5, 1991), MATH PROC CAMBRIDGE, volume 116, pages 569-569.

1993

• Byott NP. (1993) Cleft Extensions of Hopf Algebras, Journal of Algebra, volume 157, no. 2, pages 405-429, DOI:10.1006/jabr.1993.1107.
• BYOTT NP. (1993) CLEFT EXTENSIONS OF HOPF-ALGEBRAS .2, PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, volume 67, pages 277-304. [PDF]

1992

• BYOTT NP. (1992) TOROIDAL BLOCK DECOMPOSITIONS FOR HOPF ORDERS IN GROUP-ALGEBRAS, PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, volume 65, pages 449-473. [PDF]

1991

• Byott N. (1991) On Galois isomorphisms between ideals in extensions of local fields, Manuscripta Mathematica, volume 73, no. 1, pages 289-311, DOI:10.1007/bf02567642. [PDF]
• Byott NP. (1991) On Galois isomorphisms between ideals in local fields, Manuscripta Mathematica, volume 73, no. 3, pages 289-311.
• BYOTT NP. (1991) SOME SELF-DUAL LOCAL-RINGS OF INTEGERS NOT FREE OVER THEIR ASSOCIATED ORDERS, MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, volume 110, pages 5-10, DOI:10.1017/S0305004100070067. [PDF]

Showing 67 publications from Symplectic.