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Algebraic group

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Extensive amenability and an application to interval exchanges

Nicolas Monod, Nicolas Matte Bon

Extensive amenability is a property of group actions which has recently been used as a tool to prove amenability of groups. We study this property and prove that it is preserved under a very general construction of semidirect products. As an application, w ...

2018

Arithmetic and geometric structures in cryptography

Benjamin Pierre Charles Wesolowski

We explore a few algebraic and geometric structures, through certain questions posed by modern cryptography. We focus on the cases of discrete logarithms in finite fields of small characteristic, the structure of isogeny graphs of ordinary abelian varietie ...

EPFL2018

Cellular Covers of Local Groups

Jérôme Scherer

We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun. ...

SPRINGER BASEL AG2018

Crowd Dynamics in Small Teams in Higher Education

Christopher Tucci, Gianluigi Viscusi

This article aims to empirically study “crowd” dynamics in small teams and complement the work presented in Tucci et al. [2016], and Tucci and Viscusi [2017]. As in previous papers, we use as theoretical lens the framework and related typology of “crowd” d ...

2018

Using torsion theory to compute the algebraic structure of Hochschild (co)homology

The aim of this article is to provide explicit formulas for the cup product on the Hochschild cohomology of any nonnegatively graded connected algebra and for the cap products on the Hochschild homology of with coefficients in any graded bimodule at the le ...

2018

Mapping Monotone Boolean Functions into Majority

Giovanni De Micheli, Mathias Soeken, Luca Gaetano Amarù, Eleonora Testa, Winston Jason Haaswijk

We consider the problem of decomposing monotone Boolean functions into majority-of-three operations, with a particular focus on decomposing the majority-n function. When targeting monotone Boolean functions, Shannon's expansion can be expressed by a single ...

2018

Re-creating Memories of Gulou: Three Temporalities and Emotions

Florence Graezer Bideau

In 2012, a project proposed by local authorities aimed to revitalize, after a century of interruption, the use of Beijing’s Bell and Drum Towers and the social traditions associated with it. As a result, more than one hundred households living in 66 tradit ...

2018

On irreducible subgroups of simple algebraic groups

Donna Testerman, Claude Marion

Let G be a simple algebraic group over an algebraically closed field K of characteristic p >= 0, let H be a proper closed subgroup of G and let V be a nontrivial irreducible KG-module, which is p-restricted, tensor indecomposable and rational. Assume that ...

Springer Heidelberg2017

Rationally isomorphic hermitian forms and torsors of some non-reductive groups

Eva Bayer Fluckiger

Let R be a semilocal Dedekind domain. Under certain assumptions, we show that two (not necessarily unimodular) hermitian forms over an R-algebra with involution, which are rationally isomorphic and have isomorphic semisimple coradicals, are in fact isomorp ...

Academic Press Inc Elsevier Science2017

Invariant forms on irreducible modules of simple algebraic groups

Mikko Tapani Korhonen

Let G be a simple linear algebraic group over an algebraically dosed field K of characteristic p >= 0 and let V be an irreducible rational G-module with highest weight A. When is self-dual, a basic question to ask is whether V has a non-degenerate G-invari ...

Elsevier2017