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Author ID: byott.nigel-p Recent zbMATH articles by "Byott, Nigel P."
Published as: Byott, Nigel P.; Byott, N. P.; Byott, Nigel; Byott, N.
External Links: MGP · ORCID

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 380 times in 171 Documents Cited by Year
On skew braces (with an appendix by N. Byott and L. Vendramin). Zbl 1416.16037
Smoktunowicz, Agata; Vendramin, Leandro
95
2018
Uniqueness of Hopf Galois structure for separable field extensions. Zbl 0878.12001
Byott, N. P.
62
1996
Hopf-Galois structures on field extensions with simple Galois groups. Zbl 1038.12002
Byott, Nigel P.
25
2004
Hopf-Galois structures on Galois field extensions of degree \(pq\). Zbl 1047.16022
Byott, Nigel P.
24
2004
Solubility criteria for Hopf-Galois structures. Zbl 1358.12001
Byott, Nigel P.
20
2015
Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications. Zbl 0889.11040
Byott, Nigel P.
19
1997
Fixed-point free pairs of homomorphisms and nonabelian Hopf-Galois structures. Zbl 1282.12002
Byott, Nigel P.; Childs, Lindsay N.
17
2012
Realizable classes of non abelian extensions. (Classes réalisables d’extensions non abéliennes.) Zbl 1137.11069
Byott, Nigel P.; Greither, Cornelius; Sodaïgui, Bouchaïb
14
2006
Counting Hopf-Galois structures on cyclic field extensions of squarefree degree. Zbl 1418.12001
Alabdali, Ali A.; Byott, Nigel P.
12
2018
Hopf orders and Galois module structure. With contributions by N.P.Byott. Zbl 0811.11068
Taylor, M. J.
12
1992
Integral Hopf-Galois structures on degree \(p^2\) extensions of \(p\)-adic fields. Zbl 0992.11065
Byott, Nigel P.
12
2002
Galois module structure for dihedral extensions of degree 8: realizable classes over the group ring. Zbl 1073.11068
Byott, Nigel P.; Sodaïgui, Bouchaïb
11
2005
Monogenic Hopf orders and associated orders of valuation rings. Zbl 1128.16303
Byott, Nigel P.
10
2004
Cleft extensions of Hopf algebras. II. Zbl 0795.16026
Byott, N. P.
10
1993
Nilpotent and abelian Hopf-Galois structures on field extensions. Zbl 1345.12002
Byott, Nigel P.
9
2013
Realizable Galois module classes for tetrahedral extensions. Zbl 1167.11319
Byott, Nigel P.; Sodaïgui, Bouchaïb
9
2005
Cleft extensions of Hopf algebras. Zbl 0787.16027
Byott, N. P.
9
1993
Hopf-Galois structures on almost cyclic field extensions of 2-power degree. Zbl 1183.12002
Byott, Nigel P.
9
2007
Galois scaffolds and Galois module structure in extensions of characteristic \(p\) local fields of degree \(p^2\). Zbl 1295.11133
Byott, Nigel P.; Elder, G. Griffith
7
2013
Integral Galois module structure of some Lubin-Tate extensions. Zbl 0937.11057
Byott, Nigel P.
7
1999
A valuation criterion for normal bases in elementary Abelian extensions. Zbl 1128.11055
Byott, Nigel P.; Elder, G. Griffith
7
2007
Hopf-Galois structures of squarefree degree. Zbl 1465.12005
Alabdali, Ali A.; Byott, Nigel P.
7
2020
Scaffolds and generalized integral Galois module structure. (Échafaudages et structure galoisienne généralisée des entiers.) Zbl 1423.11201
Byott, Nigel P.; Childs, Lindsay N.; Elder, G. Griffith
6
2018
Realizable Galois module classes over the group ring for non abelian extensions. Zbl 1316.11105
Byott, Nigel P.; Sodaïgui, Bouchaïb
6
2013
Tame and Galois extensions with respect to Hopf orders. Zbl 0841.16021
Byott, N. P.
6
1995
Sufficient conditions for large Galois scaffolds. Zbl 1423.11202
Byott, Nigel P.; Elder, G. Griffith
5
2018
New ramification breaks and additive Galois structure. Zbl 1162.11394
Byott, Nigel P.; Elder, G. Griffith
5
2005
Relative Galois module structure of integers of abelian fields. Zbl 0859.11059
Byott, Nigel P.; Lettl, Günter
5
1996
L-functions and Galois modules. Notes by D. Burns and N. P. Byott. Zbl 0733.11044
Cassou-Noguès, Ph.; Chinburg, T.; Fröhlich, A.; Taylor, M. J.
5
1991
Skew braces of squarefree order. Zbl 1476.16034
Alabdali, Ali A.; Byott, Nigel P.
5
2021
Some self-dual local rings of integers not free over their associated orders. Zbl 0737.11037
Byott, N. P.
4
1991
Integral Galois module structure for elementary abelian extensions with a Galois scaffold. Zbl 1320.11111
Byott, Nigel P.; Elder, G. Griffith
4
2014
Hopf orders and a generalization of a theorem of L. R. McCulloh. Zbl 0838.16009
Byott, N. P.
4
1995
On the integral Galois module structure of cyclic extensions of \(p\)-adic fields. Zbl 1225.11155
Byott, Nigel P.
4
2008
Biquadratic extensions with one break. Zbl 1033.11054
Byott, Nigel P.; Elder, G. Griffith
3
2002
On the restricted Hilbert-Speiser and Leopoldt properties. Zbl 1286.11186
Byott, Nigel P.; Carter, James E.; Greither, Cornelius; Johnston, Henri
2
2011
A valuation criterion for normal basis generators of Hopf-Galois extensions in characteristic \(p\). Zbl 1278.11103
Byott, Nigel P.
2
2011
On Galois isomorphisms between ideals in extensions of local fields. Zbl 0771.11047
Byott, Nigel
2
1991
Associated orders of certain extensions arising from Lubin-Tate formal groups. Zbl 0902.11052
Byott, Nigel P.
2
1997
Tame realisable classes over Hopf orders. Zbl 0911.16010
Byott, N. P.
2
1998
Galois module structure and Kummer theory for Lubin-Tate formal groups. Zbl 0958.11076
Byott, Nigel P.
2
2000
Power sums over finite subspaces of a field. Zbl 1029.11069
Byott, Nigel P.; Chapman, Robin J.
2
1999
Packings induced by piecewise isometries cannot contain the Arbelos. Zbl 1156.52013
Trovati, Marcello; Ashwin, Peter; Byott, Nigel
2
2008
On the mixing properties of piecewise expanding maps under composition with permutations. II: Maps of non-constant orientation. Zbl 1357.37033
Byott, Nigel P.; Lin, Congping; Zhang, Yiwei
1
2016
On the mixing properties of piecewise expanding maps under composition with permutations. Zbl 1308.37004
Byott, Nigel P.; Holland, Mark; Zhang, Yiwei
1
2013
Corrigendum: Some self-dual local rings of integers not free over their associated orders. Zbl 0836.11039
Byott, N. P.
1
1994
On the necessity of new ramification breaks. Zbl 1196.11156
Byott, Nigel P.; Elder, G. Griffith
1
2009
Toroidal block decompositions for Hopf orders in group algebras. Zbl 0738.16003
Byott, N. P.
1
1992
Hopf-Galois structures on non-normal extensions of degree related to Sophie Germain primes. Zbl 1475.12006
Byott, Nigel P.; Martin-Lyons, Isabel
1
2022
On insoluble transitive subgroups in the holomorph of a finite soluble group. Zbl 1526.20025
Byott, Nigel P.
1
2024
On insoluble transitive subgroups in the holomorph of a finite soluble group. Zbl 1526.20025
Byott, Nigel P.
1
2024
Hopf-Galois structures on non-normal extensions of degree related to Sophie Germain primes. Zbl 1475.12006
Byott, Nigel P.; Martin-Lyons, Isabel
1
2022
Skew braces of squarefree order. Zbl 1476.16034
Alabdali, Ali A.; Byott, Nigel P.
5
2021
Hopf-Galois structures of squarefree degree. Zbl 1465.12005
Alabdali, Ali A.; Byott, Nigel P.
7
2020
On skew braces (with an appendix by N. Byott and L. Vendramin). Zbl 1416.16037
Smoktunowicz, Agata; Vendramin, Leandro
95
2018
Counting Hopf-Galois structures on cyclic field extensions of squarefree degree. Zbl 1418.12001
Alabdali, Ali A.; Byott, Nigel P.
12
2018
Scaffolds and generalized integral Galois module structure. (Échafaudages et structure galoisienne généralisée des entiers.) Zbl 1423.11201
Byott, Nigel P.; Childs, Lindsay N.; Elder, G. Griffith
6
2018
Sufficient conditions for large Galois scaffolds. Zbl 1423.11202
Byott, Nigel P.; Elder, G. Griffith
5
2018
On the mixing properties of piecewise expanding maps under composition with permutations. II: Maps of non-constant orientation. Zbl 1357.37033
Byott, Nigel P.; Lin, Congping; Zhang, Yiwei
1
2016
Solubility criteria for Hopf-Galois structures. Zbl 1358.12001
Byott, Nigel P.
20
2015
Integral Galois module structure for elementary abelian extensions with a Galois scaffold. Zbl 1320.11111
Byott, Nigel P.; Elder, G. Griffith
4
2014
Nilpotent and abelian Hopf-Galois structures on field extensions. Zbl 1345.12002
Byott, Nigel P.
9
2013
Galois scaffolds and Galois module structure in extensions of characteristic \(p\) local fields of degree \(p^2\). Zbl 1295.11133
Byott, Nigel P.; Elder, G. Griffith
7
2013
Realizable Galois module classes over the group ring for non abelian extensions. Zbl 1316.11105
Byott, Nigel P.; Sodaïgui, Bouchaïb
6
2013
On the mixing properties of piecewise expanding maps under composition with permutations. Zbl 1308.37004
Byott, Nigel P.; Holland, Mark; Zhang, Yiwei
1
2013
Fixed-point free pairs of homomorphisms and nonabelian Hopf-Galois structures. Zbl 1282.12002
Byott, Nigel P.; Childs, Lindsay N.
17
2012
On the restricted Hilbert-Speiser and Leopoldt properties. Zbl 1286.11186
Byott, Nigel P.; Carter, James E.; Greither, Cornelius; Johnston, Henri
2
2011
A valuation criterion for normal basis generators of Hopf-Galois extensions in characteristic \(p\). Zbl 1278.11103
Byott, Nigel P.
2
2011
On the necessity of new ramification breaks. Zbl 1196.11156
Byott, Nigel P.; Elder, G. Griffith
1
2009
On the integral Galois module structure of cyclic extensions of \(p\)-adic fields. Zbl 1225.11155
Byott, Nigel P.
4
2008
Packings induced by piecewise isometries cannot contain the Arbelos. Zbl 1156.52013
Trovati, Marcello; Ashwin, Peter; Byott, Nigel
2
2008
Hopf-Galois structures on almost cyclic field extensions of 2-power degree. Zbl 1183.12002
Byott, Nigel P.
9
2007
A valuation criterion for normal bases in elementary Abelian extensions. Zbl 1128.11055
Byott, Nigel P.; Elder, G. Griffith
7
2007
Realizable classes of non abelian extensions. (Classes réalisables d’extensions non abéliennes.) Zbl 1137.11069
Byott, Nigel P.; Greither, Cornelius; Sodaïgui, Bouchaïb
14
2006
Galois module structure for dihedral extensions of degree 8: realizable classes over the group ring. Zbl 1073.11068
Byott, Nigel P.; Sodaïgui, Bouchaïb
11
2005
Realizable Galois module classes for tetrahedral extensions. Zbl 1167.11319
Byott, Nigel P.; Sodaïgui, Bouchaïb
9
2005
New ramification breaks and additive Galois structure. Zbl 1162.11394
Byott, Nigel P.; Elder, G. Griffith
5
2005
Hopf-Galois structures on field extensions with simple Galois groups. Zbl 1038.12002
Byott, Nigel P.
25
2004
Hopf-Galois structures on Galois field extensions of degree \(pq\). Zbl 1047.16022
Byott, Nigel P.
24
2004
Monogenic Hopf orders and associated orders of valuation rings. Zbl 1128.16303
Byott, Nigel P.
10
2004
Integral Hopf-Galois structures on degree \(p^2\) extensions of \(p\)-adic fields. Zbl 0992.11065
Byott, Nigel P.
12
2002
Biquadratic extensions with one break. Zbl 1033.11054
Byott, Nigel P.; Elder, G. Griffith
3
2002
Galois module structure and Kummer theory for Lubin-Tate formal groups. Zbl 0958.11076
Byott, Nigel P.
2
2000
Integral Galois module structure of some Lubin-Tate extensions. Zbl 0937.11057
Byott, Nigel P.
7
1999
Power sums over finite subspaces of a field. Zbl 1029.11069
Byott, Nigel P.; Chapman, Robin J.
2
1999
Tame realisable classes over Hopf orders. Zbl 0911.16010
Byott, N. P.
2
1998
Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications. Zbl 0889.11040
Byott, Nigel P.
19
1997
Associated orders of certain extensions arising from Lubin-Tate formal groups. Zbl 0902.11052
Byott, Nigel P.
2
1997
Uniqueness of Hopf Galois structure for separable field extensions. Zbl 0878.12001
Byott, N. P.
62
1996
Relative Galois module structure of integers of abelian fields. Zbl 0859.11059
Byott, Nigel P.; Lettl, Günter
5
1996
Tame and Galois extensions with respect to Hopf orders. Zbl 0841.16021
Byott, N. P.
6
1995
Hopf orders and a generalization of a theorem of L. R. McCulloh. Zbl 0838.16009
Byott, N. P.
4
1995
Corrigendum: Some self-dual local rings of integers not free over their associated orders. Zbl 0836.11039
Byott, N. P.
1
1994
Cleft extensions of Hopf algebras. II. Zbl 0795.16026
Byott, N. P.
10
1993
Cleft extensions of Hopf algebras. Zbl 0787.16027
Byott, N. P.
9
1993
Hopf orders and Galois module structure. With contributions by N.P.Byott. Zbl 0811.11068
Taylor, M. J.
12
1992
Toroidal block decompositions for Hopf orders in group algebras. Zbl 0738.16003
Byott, N. P.
1
1992
L-functions and Galois modules. Notes by D. Burns and N. P. Byott. Zbl 0733.11044
Cassou-Noguès, Ph.; Chinburg, T.; Fröhlich, A.; Taylor, M. J.
5
1991
Some self-dual local rings of integers not free over their associated orders. Zbl 0737.11037
Byott, N. P.
4
1991
On Galois isomorphisms between ideals in extensions of local fields. Zbl 0771.11047
Byott, Nigel
2
1991
all top 5

Cited by 115 Authors

28 Byott, Nigel P.
14 Sodaïgui, Bouchaïb
12 Elder, Gove Griffith
11 Childs, Lindsay N.
11 Truman, Paul J.
11 Tsang, Cindy
9 Koch, Alan
7 Caranti, Andrea
7 Crespo Vicente, Teresa
6 Kohl, Timothy
6 Underwood, Robert G.
5 Greither, Cornelius
5 Rio, Anna
4 Gil-Muñoz, Daniel
4 Johnston, Henri L. A.
4 Keating, Kevin
4 Stefanello, Lorenzo
3 Alabdali, Ali A.
3 Del Corso, Ilaria
3 Trappeniers, Senne
3 Vela, Montserrat
3 Vendramin, Leandro
2 Acri, Emiliano F.
2 Arvind, Namrata
2 Bachiller, David
2 Bardakov, Valeriĭ Georgievich
2 Bley, Werner
2 Bonatto, Marco
2 Bondarko, Mikhail Vladimirovich
2 Campedel, Elena
2 Cobbe, Alessandro
2 Farhat, Maya
2 Fu, Xinchu
2 Ichimura, Humio
2 Martin-Lyons, Isabel
2 Miyata, Yoshimasa
2 Nasybullov, Timur Rinatovich
2 Neshchadim, Mikhail Vladimirovich
2 Panja, Saikat
2 Rump, Wolfgang
2 Salguero, Marta
2 Sbeity, Farah
2 Smoktunowicz, Agata
2 Taous, Mohammed
2 Vinatier, Stéphane
2 Yadav, Manoj Kumar
2 Yu, Rongzhong
1 Agboola, Adebisi
1 Agore, Ana-Loredana
1 Aiba, Akira
1 Ballester-Bolinches, Adolfo
1 Boltje, Robert
1 Bontea, Costel-Gabriel
1 Bruche, Clement
1 Brzeziński, Tomasz
1 Carnahan, Scott Huai-Lei
1 Carnovale, Giovanna
1 Carter, James E.
1 Cedó, Ferran
1 Chandler, David B.
1 Chiesa, Alessandro
1 Colazzo, Ilaria
1 Corradino, Jesse
1 Cuadra, Juan
1 Dalla Volta, Francesca
1 Darlington, Andrew
1 Deopurkar, Anand
1 Dievskiĭ, A. V.
1 Doikou, Anastasia
1 Esteban-Romero, Ramón
1 Ezome, Tony
1 Featherstonhaugh, S. C.
1 Ferri, Fabio
1 Forbes, Michael A.
1 Froyland, Gary
1 Göhlich, Dietmar
1 González-Tokman, Cecilia
1 Gorshkov, Il’ya Borisovich
1 Gur, Tom
1 Hooper, Jeffrey J.
1 Huynh Van Duc
1 Iadarola, Angelo
1 Karanikolopoulos, Sotiris
1 Kontogeorgis, Aristides I.
1 Krop, Leonid
1 Künzer, Matthias
1 Masut, Elisabetta
1 Mazhouda, Kamel
1 McCulloh, Leon R.
1 Mézard, Ariane
1 Militaru, Gigel
1 Mináč, Ján
1 Nejabati Zenouz, Kayvan
1 Patel, Anand P.
1 Pickett, Erik Jarl
1 Qin, Chao
1 Romagny, Matthieu
1 Schultz, Andrew
1 Schwartz, Paul
1 Smith, Harold H. III
...and 15 more Authors
all top 5

Cited in 45 Serials

41 Journal of Algebra
23 Journal of Number Theory
15 Communications in Algebra
11 Journal of Pure and Applied Algebra
11 Journal de Théorie des Nombres de Bordeaux
7 Journal of Algebra and its Applications
6 Proceedings of the American Mathematical Society
5 Annales de l’Institut Fourier
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Bulletin of the London Mathematical Society
3 Transactions of the American Mathematical Society
3 Publicacions Matemàtiques
3 International Journal of Algebra and Computation
3 International Journal of Number Theory
2 The New York Journal of Mathematics
2 Proceedings of the American Mathematical Society. Series B
1 Journal of the Franklin Institute
1 Rocky Mountain Journal of Mathematics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Arithmetica
1 Advances in Mathematics
1 Archiv der Mathematik
1 Illinois Journal of Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Note di Matematica
1 Physica D
1 Forum Mathematicum
1 SIAM Review
1 Journal of Knot Theory and its Ramifications
1 Journal of Mathematical Sciences (New York)
1 Finite Fields and their Applications
1 Journal of the ACM
1 Journal of Group Theory
1 Discrete Dynamics in Nature and Society
1 Oberwolfach Reports
1 Algebra & Number Theory
1 Forum of Mathematics, Sigma
1 Communications in Mathematics and Statistics
1 Research in Number Theory
1 Journal of Combinatorial Algebra

Citations by Year