Dr Nadia Mazza

Senior Lecturer in Pure Mathematics

Research Interests

  • Modular representations of finite groups : endotrivial and endo-permutation modules, Dade group, Knörr lattices.
  • Cohomology of finite groups and (rank) varieties of modules.
  • Finite and profinite groups, subgroup complexes.
  • Auslander-Reiten theory.
  • Fusion systems on finite p-groups and representations of categories.

The pro-p group of upper unitriangular matrices
Mazza, N. 12/2017 In: Journal of Pure and Applied Algebra. 221, 12, p. 2928-2952. 25 p.
Journal article

Endotrivial modules for finite groups of Lie type A in nondefining characteristic
Carlson, J., Mazza, N., Nakano, D. 02/2016 In: Mathematische Zeitschrift. 282, 1, p. 1-24. 24 p.
Journal article

Endotrivial modules for the Schur covers of the symmetric and alternating groups
Lassueur, C., Mazza, N. 10/2015 In: Algebras and Representation Theory. 18, 5, p. 1321-1335. 15 p.
Journal article

Endotrivial modules for the sporadic simple groups and their covers
Lassueur, C., Mazza, N. 09/2015 In: Journal of Pure and Applied Algebra. 219, 9, p. 4203-4228. 26 p.
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Endotrivial modules for the general linear group in a nondefining characteristic
Carlson, J., Mazza, N., Nakano, D. 12/2014 In: Mathematische Zeitschrift. 278, 3-4, p. 901-925. 25 p.
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Torsion-free endotrivial modules
Carlson, J., Mazza, N., Thevenaz, J. 15/01/2014 In: Journal of Algebra. 398, p. 413-433. 21 p.
Journal article

Auslander-Reiten components for some Knörr lattices
Geline, M., Mazza, N. 1/08/2013 In: Bulletin of the London Mathematical Society. 45, 4, p. 800-810. 11 p.
Journal article

Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup.
Carlson, J., Mazza, N., Thévenaz, J. 2013 In: Journal of the European Mathematical Society. 15, 1, p. 157-177. 21 p.
Journal article

On a strong form of Oliver’s p-group conjecture.
Green, D., Héthelyi, L., Mazza, N. 15/09/2011 In: Journal of Algebra. 342, 1, p. 1-15. 16 p.
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Endotrivial modules for $p$-solvable groups.
Mazza, N., Carlson, J., Thévenaz, J. 19/04/2011 In: Transactions of the American Mathematical Society. 363, p. 4979-4996. 18 p.
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On Oliver's p-group conjecture :: II.
Green, D., Héthelyi, L., Mazza, N. 05/2010 In: Mathematische Annalen. 347, 1, p. 111-122. 12 p.
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$p$-groups with maximal elementary abelian subgroups of rank $2$
Glauberman, G., Mazza, N. 15/03/2010 In: Journal of Algebra. 323, 6, p. 1729-1737. 9 p.
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The group of endotrivial modules for the symmetric and alternating groups.
Carlson, J., Hemmer, D., Mazza, N. 02/2010 In: Proceedings of the Edinburgh Mathematical Society. 53, 1, p. 83-95. 13 p.
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Control of transfer and weak closure in fusion systems.
Diaz, A., Glesser, A., Mazza, N., Park, S. 15/01/2010 In: Journal of Algebra. 323, 2, p. 382-392. 11 p.
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Endotrivial modules for the symmetric and alternating groups.
Carlson, J., Mazza, N., Nakano, D. 02/2009 In: Proceedings of the Edinburgh Mathematical Society. 52, 1, p. 45-66. 22 p.
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The Dade group of a fusion system.
Linckelmann, M., Mazza, N. 01/2009 In: Journal of Group Theory. 12, 1, p. 55-74. 20 p.
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Glauberman and Thompson's theorems for fusion systems.
Diaz, A., Glesser, A., Mazza, N., Park, S. 2009 In: Proceedings of the American Mathematical Society. 137, p. 495-509. 15 p.
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Connected components of the category of elementary abelian $p$-subgroups.
Mazza, N. 15/12/2008 In: Journal of Algebra. 320, 12, p. 4242-4248. 7 p.
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Endotrivial modules in the cyclic case.
Mazza, N., Thevenaz, J. 12/2007 In: Archiv der Mathematik. 89, 6, p. 497-503. 7 p.
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The group of endotrivial modules in the normal case.
Mazza, N. 05/2007 In: Journal of Pure and Applied Algebra. 209, 2, p. 311-323. 13 p.
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Endotrivial modules for finite groups of Lie type.
Carlson, J., Mazza, N., Nakano, D. 06/2006 In: Journal für die reine und angewandte Mathematik (Crelle's Journal). 595, p. 93-119. 27 p.
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The Dade group of (almost) extraspecial $p$-groups.
Bouc, S., Mazza, N. 1/09/2004 In: Journal of Pure and Applied Algebra. 192, 1-3, p. 21-51. 31 p.
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The Dade group of a metacyclic $p$-group.
Mazza, N. 1/08/2003 In: Journal of Algebra. 266, 1, p. 102-111. 10 p.
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Endo-permutation modules as sources of simple modules.
Mazza, N. 05/2003 In: Journal of Group Theory. 6, 4, p. 477-497. 21 p.
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Modules d'endo-permutation
Mazza, N. 2003 Universite de Lausanne.
Doctoral Thesis