11 citations · 28 across the 10 of their papers we have counts for
12 papers
On the (crossed) Burnside ring of profinite groups
Nadia Mazza
In this paper we investigate some properties of the Burnside ring of a profinite group as defined in \cite{ds}. We introduce the notion of the crossed Burnside ring of a profinite…
A geometric approach to Quillen's conjecture
Antonio Díaz Ramos, Nadia Mazza
We introduce {\em admissible collections} for a finite group and use them to prove that most of the finite classical groups in non-defining characteristic satisfy the {\em Quil…
Torsion Free Endotrivial Modules for Finite Groups of Lie Type
Jon F. Carlson, Jesper Grodal, Nadia Mazza +1
In this paper we determine the torsion free rank of the group of endotrivial modules for any finite group of Lie type, in both defining and non-defining characteristic. On our way…
On the cohomology of pro-fusion systems
Antonio Díaz Ramos, Oihana Garaialde Ocaña, Nadia Mazza +1
We prove the Cartan-Eilenberg stable elements theorem and construct a Lyndon-Hochschild-Serre type spectral sequence for pro-fusion systems. As an application, we determine the con…
The stable category and invertible modules for infinite groups
Nadia Mazza, Peter Symonds
We construct a well-behaved stable category of modules for a large class of infinite groups. We then consider its Picard group, which is the group of invertible (or endotrivial) mo…
The pro- group of upper unitriangular matrices
Nadia Mazza
We study the pro- group whose finite quotients give the prototypical Sylow -subgroup of the general linear groups over a finite field of prime characteristic . In this…
Endotrivial Modules for Finite Groups of Lie Type A in Nondefining Characteristic
Jon F. Carlson, Nadia Mazza, Daniel K. Nakano
Let be a finite group such that and be a central subgroup of . In this paper we determine the group consist…
Endotrivial modules for the sporadic simple groups and their covers
Caroline Lassueur, Nadia Mazza
In a step towards the classification of endotrivial modules for quasi-simple groups, we investigate endotrivial modules for the sporadic simple groups and their covers. A main outc…
Endotrivial modules for the Schur covers of the symmetric and alternating groups
Caroline Lassueur, Nadia Mazza
We investigate the endotrivial modules for the Schur covers of the symmetric and alternating groups and determine the structure of their group of endotrivial modules in all charact…
Endotrivial Modules for the General Linear Group in a Nondefining Characteristic
Jon F. Carlson, Nadia Mazza, Daniel K. Nakano
Suppose that is a finite group such that , and that is a central subgroup of . Let be the ab…
On a strong form of Oliver's p-group conjecture
David J. Green, László Héthelyi, Nadia Mazza
We introduce a strong form of Oliver's p-group conjecture and derive a reformulation in terms of the modular representation theory of a quotient group. The Sylow p-subgroups of the…
On Oliver's p-group conjecture: II
D. J. Green, L. Héthelyi, N. Mazza
Let p be an odd prime and S a finite p-group. B. Oliver's conjecture arises from an open problem in the theory of p-local finite groups. It is the claim that a certain characterist…