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I am interested in the study of finite p-local groups coming from block theory and their associated p-completed
classifying spaces. I have a particular interest in studying the
extensions of fusion systems, and the obstructions to the existence and
uniqueness of a centric linking system associated to a fusion system. I
am also interested in the study of the graded center of the stable and
derived category of modules over a group algebra, Burnside rings
and Mackey functors.
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Publications and preprints
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The extension algebra of some cohomological Mackey functors
with S. Bouc |
submitted |
.dvi or .pdf
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Tate's and Yoneda's Theorems on control of transfer for fusion systems
with A. Diaz, A. Glesser and S.Park |
to appear in J. London Math. Soc. |
.dvi or .pdf
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Encoding fusion data in the double Burnside ring
with Kari Ragnarsson
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submitted
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.dvi or .pdf
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On the graded center of the stable category of a
finite p-group
with Markus Linckelmann
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Journal of Pure and Applied Algebra, 214 (2010), no. 6, 950–959
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.dvi or .pdf
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A characteristic subgroup for fusion systems
with Silvia Onofrei
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Journal of Algebra, 322 (2009), no. 5, 1705–1718
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.dvi or .pdf
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Realizing fusion systems
with Ian Leary
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Journal of Algebra and Number Theory 1 (2007), no. 1, 17--34
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.dvi or .pdf
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Conjectures on finite and p-local
groups
with Ron Solomon
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L'Enseignement Mathematique 54, (2008), 61--66
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.dvi or .pdf
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A reduction theorem for fusion systems of blocks
with Radha Kessar
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Journal of Algebra 319 (2008), no. 2, 806--823
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.dvi or .pdf
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Control of the fusion in fusion systems
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Journal of Algebra and its Applications
6, Vol 5 (2006), 17--34
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.dvi or .pdf
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Equivalent definitions of fusion systems
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preprint, 2004
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.dvi or .pdf
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On normal subsystems
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preprint, 2003
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.dvi or .pdf
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Quotients of fusion systems
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preprint, 2003
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.dvi or .pdf
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Almost all generalized extraspecial p-groups
are resistant
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Journal of Algebra 249 (2002),
120--126
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.dvi or .pdf
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Local properties of finite groups (French)
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Ph.D. thesis, July
2002
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.ps or .pdf
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