Publications of Peter Webb

Biset functors for categories
Abstract pdf arXiv:2304.06863

The structure of Young modules and Schur algebras in characteristic 2
(with Moriah Elkin) arXiv.
Abstract pdf arXiv:2011.12357

The bounded derived category of a poset
(with K. Diveris and M. Purin) submitted.
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Bilinear forms on Grothendieck groups of triangulated categories
pages 465-480 in eds. JF Carlson, SB Iyengar and J Pevtsova, Geometric and Topological Aspects of the Representation Theory of Finite Groups (PIMS Summer School and Workshop, July 27 - August 5, 2016), Springer Proceedings in Mathematics and Statistics 242 (2018).
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The graded center of a triangulated category
(with J.F. Carlson) J. Australian Math. Soc. 102 (2017), 74-95.
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On the projective dimensions of Mackey functors
(with S. Bouc and R. Stancu) Algebras and Representation Theory 20 (2017), 1467-1481. DOI 10.1007/s10468-017-9695-y.
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Combinatorial restrictions on the tree class of the Auslander-Reiten quiver of a triangulated category
(with K. Diveris and M. Purin) Mathematische Zeitschrift 282 (2016), 405-410.
DOI 10.1007/s00209-015-1545-1
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Special issue in memory of Karl Walter Gruenberg
(with A. Shalev and M. Liebeck) J. Algebra 326 (2011), 1 - 3.
If you would like an electronic version of the published form, send me email and I will send you one.

Sets with a category action
Oberwolfach Reports 7, Issue 3, (2010), 1940 - 1945. DOI: 10.4171/OWR/2010/32.

Extending the coinvariant theorems of Chevalley, Shephard-Todd, Mitchell, and Springer
(with A. Broer, V. Reiner and L. Smith) Proc. Lond. Math. Soc. 103 (2011), 747-785.
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Stratifications and Mackey functors II: globally defined Mackey functors
Journal of K-Theory 6 (2010), 99 - 170.
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The module structure of the coinvariant algebra of a finite group representation
(with A. Broer, V. Reiner and L. Smith) RIMS Kokyuroku 1593 (2008), 185-189.
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Resolutions, relation modules and Schur multipliers for categories
J. Algebra 326 (2011), 245 - 276.
If you would like an electronic version of the published form of the paper, send me email and I will send you one.
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Venn symmetry and prime numbers: a seductive proof revisited
(with S. Wagon) American Mathematical Monthly 115 (2008), 645 - 648.
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The low-dimensional cohomology of categories
Oberwolfach Reports 3 (2006).
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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.
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Standard stratifications of EI categories and Alperin's weight conjecture
Journal of Algebra 320 (2008), 4073-4091.
If you would like an electronic version of the published form of the paper, send me email and I will send you one.
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Unique factorization in invariant power series rings
(with D. Benson) J. Algebra 319 (2008), 702-715.
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Springer's regular elements over arbitrary fields
(with V. Reiner and D. Stanton) Math. Proc. Cam. Phil. Soc. 141 (2006), 209-229.
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Weight Theory in the Context of Arbitrary Finite Groups
Fields Institute Communications 40 (2004), 277-289.
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Combinatorics of the bar resolution
(with V. Reiner), J. Pure Appl. Algebra 190 (2004), 291-327.
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Some Split Exact Sequences in the Cohomology of Groups
(with R. Villarroel-Flores), Topology 41 (2002), 483-494.
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Stratifications and Mackey Functors I: Functors for a Single Group
Proc. London Math. Soc. (3) 82 (2001), 299-336.
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A Guide to Mackey Functors
pages 805-836 in Handbook of Algebra vol 2 (ed M. Hazewinkel), Elsevier 2000.
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Extensions of G-posets and Quillen’s complex
(with Y. Segev), J. Australian Math. Soc. (Series A) 57 (1994), 60-75.
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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.
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Graded G-sets, symmetric powers of permutation modules, and the cohomology of wreath products
Contemporary Math. 146 (1993), 441-452.
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The structure of Mackey functors
(with J. Thévenaz), Trans. A.M.S. 347(1995), 1865-1961.
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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.
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A Mackey functor version of a conjecture of Alperin
(with J. Thévenaz), Astérisque181-182 (1990), 263-272.
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Homotopy equivalence of posets with a group action
(with J. Thévenaz), J. Combinat. Theory Ser. A. 56 (1991), 173-181.
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A split exact sequence of Mackey functors
Commentarii Math. Helv. 66 (1991), 34-69.
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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).
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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).