Research Publications by Peter Webb
Extending the coinvariant theorems of Chevalley, Shephard-Todd, Mitchell, and Springer
(with A. Broer, V. Reiner and L. Smith) Preprint May 2008.
Abstract dvi
ps pdf
Stratifications and Mackey functors II: globally defined Mackey functors
Preprint May 2008.
Abstract dvi
ps pdf
The module structure of the coinvariant algebra of a finite group representation
(with A. Broer, V. Reiner and L. Smith) Preprint March 2008.
Abstract dvi
ps pdf
Resolutions, relation modules and Schur multipliers for categories
Preprint November 2007.
Abstract dvi
ps pdf
Venn symmetry and prime numbers: a seductive proof revisited
(with S. Wagon) to appear in American Mathematical Monthly.
Abstract pdf
The low-dimensional cohomology of categories
Oberwolfach report, April 2006.
Abstract dvi
ps pdf
An introduction to the representations and cohomology of categories
pp. 149-173 in: M. Geck, D. Testerman and J. Thévenaz (eds.), Group Representation Theory, EPFL Press (Lausanne) 2007.
Abstract dvi
ps pdf
Standard stratifications of EI categories and Alperin's weight conjecture
to appear: Journal of Algebra.
Abstract dvi
postscript pdf
Unique factorization in invariant power series rings
(with D. Benson) J. Algebra 319 (2008), 702-715.
Abstract dvi
postscript pdf
Springer's regular elements over arbitrary fields
(with V. Reiner and D. Stanton)
Math. Proc. Cam. Phil. Soc. 141 (2006), 209-229.
Abstract dvi postscript pdf
Weight Theory in the Context of Arbitrary Finite Groups
Fields Institute Communications 40 (2004), 277-289.
Abstract dvi postscript pdf
Combinatorics of the bar resolution
(with V. Reiner), J. Pure Appl. Algebra 190 (2004), 291-327.
Abstract dvi postscript pdf
Some Split Exact Sequences in the Cohomology of Groups
(with R. Villarroel-Flores), Topology 41 (2002), 483-494.
Abstract dvi
postscript pdf
Stratifications and Mackey Functors I: Functors for a Single Group
Proc. London Math. Soc. (3) 82 (2001), 299-336.
Abstract dvi
postscript pdf
Error list
A Guide to Mackey Functors
pages 805-836 in Handbook of Algebra vol 2 (ed M. Hazewinkel), Elsevier 2000.
dvi
postscript pdf
Extensions of G-posets and Quillen’s complex
(with Y. Segev), J. Australian Math. Soc. (Series A) 57 (1994), 60-75.
Abstract
dvi
postscript
pdf
errors
Two classifications of simple Mackey functors with applications to group cohomology and the decomposition of classifying spaces
J. Pure Appl. Algebra 88 (1993), 265-304.
Abstract dvi
postscript pdf
Graded G-sets, symmetric powers of permutation modules, and the cohomology of wreath products
Contemporary Math. 146 (1993), 441-452.
Abstract dvi
postscript pdf
corrections
The structure of Mackey functors
(with J. Thévenaz), Trans. A.M.S. 347(1995), 1865-1961.
Abstract
dvi
postscript
pdf
errors
Simple Mackey Functors
(with J. Thévenaz), Proc. of 2nd international group theory conference, Bressanone (1989), Supplement to Rendiconti del Circolo Matematico di Palermo 23 (1990), 299-319.
Abstract dvi
postscript pdf
A Mackey functor version of a conjecture of Alperin
(with J. Thévenaz), Astérisque181-182 (1990), 263-272.
Abstract dvi
postscript pdf
Homotopy equivalence of posets with a group action
(with J. Thévenaz), J. Combinat. Theory Ser. A. 56 (1991), 173-181.
Abstract dvi
postscript pdf
A split exact sequence of Mackey functors
Commentarii Math. Helv. 66 (1991), 34-69.
Abstract dvi
postscript pdf
Subgroup complexes
pp. 349-365 in: ed. P. Fong, The Arcata Conference on Representations of Finite Groups, AMS Proceedings of Symposia in Pure Mathematics 47 (1987).
Error list
Complexes, group cohomology, and an induction theorem for the Green ring
J. Algebra 104 (1986), 351-357.
A local method in group cohomology
Commentarii Math. Helv. 62 (1987), 135-167.
On the orthogonality coefficients for character tables of the Green ring of a finite group
J. Algebra 89 (1984), 247-263.
Bounding the number of generators of a metabelian group
(with P.A. Linnell and A.J. McIsaac), Archiv der Math. 38 (1982), 501-505.
The Auslander-Reiten quiver of a finite group
Math. Z. 179 (1982), 97-121.
Bounding the ranks of ZG-lattices by their restrictions to elementary abelian subgroups
J. Pure Appl. Algebra 23 (1982), 311-318.
Restricting ZG-lattices to elementary abelian subgroups
in: ed. K.W. Roggenkamp, Integral Representations and Applications, Lecture Notes in Math. 882, Springer-Verlag 1981.
The projective extensions of a finite group
Math. Proc. Cam. Phil. Soc. 90 (1981), 251-257.
Minimal relation modules of free nilpotent groups
Archiv der Math. 37 (1981), 193-197.
The minimal relation modules of a finite abelian group
J. Pure Appl. Algebra 21 (1981), 205-232.
Relation modules and extensions of groups
Ph.D. Thesis, London (1979).