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Related publications (38)

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Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup

Jacques Thévenaz, Nadia Mazza

Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial kG-modules, whose restrictions to P are isomorphic to th ...

European Mathematical Soc2013

Discussion of three definitions of spatial justice in the writing of Jacques Lévy

Ana Moura Bastos de Fernandes Póvoas

This text address the challenge of answering to two inseparable question: What is a just territory ? and What can we do to approach more just territories? The first section of this text explores three approaches of spatial justice as deployed by Jacques Lé ...

2013

Finite Element Method on Riemann Surfaces and Applications to the Laplacian Spectrum

Marc Maintrot

The objective of this PhD thesis is the approximate computation of the solutions of the Spectral Problem associated with the Laplace operator on a compact Riemann surface without boundaries. A Riemann surface can be seen as a gluing of portions of the Hype ...

EPFL2012

Relative Projectivity and Relative Endotrivial Modules

Caroline Lassueur

This dissertation is concerned with modular representation theory of finite groups, and more precisely, with the study of classes of representations, which we shall term relative endotrivial modules. Given a prime number p, a finite group G of order divisi ...

EPFL2012

Subspace properties of network coding and their applications

Christina Fragouli, Suhas Diggavi, Mahdi Jafari Siavoshani

Systems that employ network coding for content distribution convey to the receivers linear combinations of the source packets. If we assume randomized network coding, during this process the network nodes collect random subspaces of the space spanned by th ...

2012

Closedness of the Tangent Spaces to the Orbits of Proper Actions

Madeleine Jotz

In this note we show that, for any proper action of a Banach-Lie group G on a Banach manifold M, the corresponding tangent maps g -> T-x(M) have closed range for each x is an element of M, i.e., the tangent spaces of the orbits are closed. As a consequence ...

2008

On Locating Byzantine Attackers

Christina Fragouli, Suhas Diggavi, Mahdi Jafari Siavoshani

We examine networks that employ network coding, and are subject to Byzantine attacks. We consider systems where an appropriate network error correcting scheme is employed that is able to correct (up to a certain number of) Byzantine errors. Given this setu ...

2008

Varieties of modules for Z/2Z x Z/2Z

Let k be an algebraically closed field of characteristic 2. We prove that the restricted nilpotent commuting variety C, that is the set of pairs of (n x n)-matrices (A, B) such that A(2) = B-2 = [A, B] = 0, is equidimensional. C can be identified with the ...

Elsevier2007

Subspace properties of randomized network coding

Christina Fragouli, Suhas Diggavi, Mahdi Jafari Siavoshani

Randomized network coding has network nodes randomly combine and exchange linear combinations of the source packets. A header appended to the packet, called coding vector, specifies the exact linear combination that each packet carries. The main contributi ...

2007

Wireless operators in a shared spectrum

Jean-Pierre Hubaux, Mark Felegyhazi

So far, cellular networks have been operated in "private" frequency bands. But recently, several researchers and legislators have argued in favor of a more flexible and more efficient management of the spectrum, leading to the possible coexistence of sever ...

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