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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, and of the extension algebra of Mackey functors.
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Publications and preprints
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1.
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On the graded center of the stable category of a
finite p-group
with Markus Linckelmann
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submitted to Journal of Pure and Applied Algebra,
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.dvi or .pdf
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2.
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A characteristic subgroup for fusion systems
with Silvia Onofrei
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to appear in Journal of Algebra,
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.dvi or .pdf
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3.
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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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4.
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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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5.
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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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6.
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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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7.
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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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8.
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On normal subsystems
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preprint, 2003
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.dvi or .pdf
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9.
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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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10.
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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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11.
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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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