Peter Symonds - Research output - Research Explorer The University of Manchester

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2024
The module structure of a group action on a ring
Symonds, P., 1 Sept 2024, In: Selecta Mathematica. 30, 4, 77.
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2020
Infinitely generated pseudocompact modules for finite groups and Weiss' Theorem
Macquarrie, J. W., Symonds, P. & Zalesskii, P. A., 12 Feb 2020, In: Advances in Mathematics. 361, p. 106925
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The non‐projective part of the tensor powers of a module
Benson, D. & Symonds, P., 12 Feb 2020, In: Journal of the London Mathematical Society. 101, 2, p. 828-856 29 p., 106925.
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2019
Rank, Coclass and Cohomology
Symonds, P., 18 Dec 2019, In: International Mathematics Research Notices. 0, rnz287.
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The stable category and invertible modules for infinite groups
Mazza, N. & Symonds, P., 15 Dec 2019, In: Advances in Mathematics. 358, p. 106853
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2016

Degree Bounds on Homology and a Conjecture of Derksen
Chardin, M. & Symonds, P., 21 Sept 2016, In: Compositio Mathematica. 152, 10, p. 2041-2049
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The Asymptotic Behavior of Frobenius Direct Images of Rings of Invariants
Hashimoto, M. & Symonds, P., 28 Sept 2016, (E-pub ahead of print) In: Advances in Mathematics. 305, 0, p. 144-164
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2015

Automorphisms of Harbater-Katz-Gabber Curves
Bleher, F., Chinburg, T., Poonen, B. & Symonds, P., 2015, In: Mathematische Annalen.
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2014

Brauer Theory for Profinite Groups
MacQuarrie, J. & Symonds, P., 2014, In: Journal of Algebra. 398, p. 496-508 12 p.
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Exterior and symmetric powers of modules for cyclic 2-groups
Himstedt, F. & Symonds, P., Jul 2014, In: Journal of Algebra. 410, p. 393-420 27 p.
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Fusion systems for profinite groups
Stancu, R. & Symonds, P., 2014, In: Journal of the London Mathematical Society. 89, 2, p. 461-481 20 p.
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2013
Group actions on rings and the Čech complex
Symonds, P., Jun 2013, In: Advances in Mathematics. 240, p. 291-301 10 p.
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2011
On the Castelnuovo-Mumford regularity of rings of polynomial invariants
Symonds, P., Jul 2011, In: Annals of Mathematics. 174, 1, p. 499-517 18 p.
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2010
On the Castelnuovo-Mumford regularity of the cohomology ring of a group
Symonds, P., Oct 2010, In: Journal of the American Mathematical Society. 23, 4, p. 1159-1173 14 p.
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2009
Equivariant Hilbert series
Himstedt, F. & Symonds, P., 2009, In: Algebra and Number Theory. 3, 4, p. 423-443 20 p.
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2008
A relative version of Webb's theorem on the equivariant chain complex of a subgroup complex
Symonds, P., Aug 2008, In: Journal of Pure and Applied Algebra. 212, 8, p. 1984-1986 2 p.
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Double coset formulas for profinite groups
Symonds, P., Mar 2008, In: Communications in Algebra. 36, 3, p. 1059-1066 7 p.
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Pro-p groups with non-isomorphic discrete and continuous cohomology groups
Symonds, P., FERNANDEZ-ALCOBER, G., KAZATCHKOV, I., REMESLENNIKOV, V. & SYMONDS, P., 2008, In: St Petersburg Mathematics Journal. 19, p. 961-973 13 p.
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2007
Cyclic group actions on polynomial rings
Symonds, P., Apr 2007, In: Bulletin of the London Mathematical Society. 39, 2, p. 181-188 7 p.
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On cohomology isomorphisms of groups
Symonds, P., 15 Jul 2007, In: Journal of Algebra. 313, 2, p. 802-810 8 p.
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On the construction of permutation complexes for profinite groups
Symonds, P., 2007, In: Geometry and Topology Monographs. 11, p. 369-378 10 p.
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Permutation complexes for profinite groups
Symonds, P., 2007, In: Commentarii Mathematici Helvetici. 82, 1, p. 1-37 36 p.
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Structure theorems over polynomial rings
Symonds, P., 15 Jan 2007, In: Advances in Mathematics. 208, 1, p. 408-421 13 p.
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The module structure of a group action on a polynomial ring: A finiteness theorem
Karagueuzian, D. B. & Symonds, P., Oct 2007, In: Journal of the American Mathematical Society. 20, 4, p. 931-967 36 p.
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2005
The Bredon cohomology of subgroup complexes
Symonds, P., 1 Jul 2005, In: Journal of Pure and Applied Algebra. 199, 1-3, p. 261-298 37 p.
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2004
Mackey functors and control of fusion
Symonds, P., Sept 2004, In: Bulletin of the London Mathematical Society. 36, 5, p. 623-632 9 p.
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The cohomology of pro-p groups with a powerfully embedded subgroup
Minh, P. A. & Symonds, P., 1 May 2004, In: Journal of Pure and Applied Algebra. 189, 1-3, p. 221-246 25 p.
Research output: Contribution to journal › Article › peer-review