Nigel Byott's List of Publications
Preprints and papers to appear:
Published research papers:
- (with G. Griffith Elder), New ramification breaks and additive
Galois structure, Journal de Théorie des Nombres de Bordeaux 17
(2005), 87-107.
- (with B. Sodaigui), Realizable Galois module classes for
tetrahedral extensions, Compositio Mathematica 141 (2005), 573-582.
- (with B. Sodaigui), Galois module structure for dihedral
extensions of degree 8: realizable classes over the group ring,
Journal of Number Theory 112 (2005), 1-19.
- Monogenic Hopf orders and associated orders of valuation rings,
Journal of Algebra 275 (2004), 575-599.
- Hopf-Galois structures on Galois field extensions of degree $pq$,
Journal of Pure & Applied Algebra 188 (2004), 45-57.
- Hopf-Galois structures on field extensions with simple Galois
groups, Bulletin of the London Mathematical Society 36 (2004), 23-29.
- (with G Griffith Elder), Biquadratic extensions with one break,
Canadian Mathematical Bulletin 45 (2002) 168-179.
- Integral Hopf-Galois structures on
degree p^2 extensions of p-adic fields, Journal of Algebra 248 (2002) 334-365.
- Galois module theory and Kummer theory for Lubin-Tate formal
groups, pp 55-67 in "Algebraic Number Theory and Diophantine Analysis"
(F Halter-Koch, R Tichy, eds), (Proceedings of Conference in Graz,
1998), Walter de Gruyter, 2000.
- Picard invariants of Galois algebras over dual Larson Hopf
Orders, Proceedings of the London Mathematical Society (3) 80
(2000), 1-30.
- Integral Galois module structure of some Lubin-Tate extensions,
Journal of Number Theory 77 (1999), 252-273.
- (with Robin J Chapman), Power sums of finite subspaces of a
field, Finite Fields and their Applications 5 (1999), 254-265.
- Tame realisable classes over Hopf orders, Journal of Algebra 201
(1998), 284-316.
- Associated orders of certain extensions
arising from Lubin-Tate formal groups, Journal de
Theorie des Nombres de Bordeaux 9 (1997), 449-462.
- Galois structure of ideals in wildly
ramified abelian $p$-extensions of a $p$-adic field, and some
applications, Journal de Theorie des Nombres de Bordeaux 9
(1997), 201-219.
- Two constructions with Galois objects, Communications in Algebra
25 (1997), 3513-3520.
- Uniqueness of Hopf Galois structures for
separable field extensions, Communications in Algebra 24 (1996)
3217-3228. Corrigendum, ibid., 3705.
- (with G.Lettl): Relative Galois module structure
of abelian fields, Journal de Theorie des Nombres de Bordeaux
8 (1996), 125-141.
- Tame and Galois extensions with respect
to Hopf orders, Mathematische Zeitschrift 220 (1995), 495-522.
- Hopf orders and a generalisation of a
theorem of L.R.McCulloh, Journal of Algebra 177 (1995), 409-433.
- Local Galois module structure and
Hopf orders}, pp. 249-255 in Symposia Gaussiana, Conf. A (eds.
M.Behara, R.Fritsch, R.G.Lintz) Walter de Gruyter & Co, 1995
- Cleft Extensions of Hopf Algebras, II,
Proceedings of the London Mathematical Society (3) 67 (1993), 277-304.
- Cleft Extensions of Hopf Algebras, Journal of Algebra 157 (1993), 405-429.
- Toroidal block decompositions of Hopf orders
in group algebras, Proceedings of the London
Mathematical Society (3) 65 (1992), 449-473.
- On Galois isomorphisms between ideals in extensions of local
fields, Manuscripta Mathematica 73 (1991), 289-311.
- Some self-dual local rings of
integers not free over their associated orders, Mathematical
Proceedings of the Cambridge Philosophical Society 110 (1991),
5-10. Corrigendum, ibid., 116 (1994), 569.
Other publications:
-
Review of "Galois Theories" by F
Borceux and G Janelidze, Bulletin of the London Mathematical Society
34 (2002), 376-378.
- M.J.Taylor with contributions by N.P.Byott: Hopf Orders
and Galois Module Structure}, (expanded notes of lectures
given by the first author, written up by the second),
pp. 153-210 in K.W. Roggenkamp, M.J.Taylor, ``Group Rings
and Class Groups'', DMV Seminar, Band 18, Birkhauser 1992.
- Ph.Cassou-Nogues, T.Chinburg, A.Frohlich, M.J.Taylor:
L-Functions and Galois Modules, (expanded notes of
lectures by the 4 main authors, written up by D.Burns and
N.P.Byott), pp 75-139 in ``L-Functions and Arithmetic''
(Proceedings of the Durham Symposium, July 1989), LMS
Lecture Notes No.\ 153, CUP 1991
- plus more than 60 reviews written for Mathematical Reviews.
Nigel Byott
School of Mathematical Sciences
University of Exeter
Exeter, EX4 4QE, UK
01392 263982
N.P.Byott@.ex.ac.uk
Last updated: 17th October 2005