Concept

Zero object (algebra)

Related publications (6)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

A finitely presented infinite simple group of homeomorphisms of the circle

Yash Lodha

We construct a finitely presented, infinite, simple group that acts by homeomorphisms on the circle, but does not admit a non-trivial action by C1-diffeomorphisms on the circle. This is the first such example. The group emerges as a group of piecewise proj ...

WILEY2019

Patching And Weak Approximation In Isometry Groups

Eva Bayer Fluckiger

Let R be a semilocal principal ideal domain. Two algebraic objects over R in which scalar extension makes sense (e.g. quadratic spaces) are said to be of the same genus if they become isomorphic after extending scalars to all completions of R and its fract ...

Amer Mathematical Soc2017

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

Categorical Foundations for K-theory

Nicolas Mathieu Michel

K-Theory was originally defined by Grothendieck as a contravariant functor from a subcategory of schemes to abelian groups, known today as K0. The same kind of construction was then applied to other fields of mathematics, like spaces and (not necessarily c ...

EPFL2010

Modules d'endo-permutation

Nadia Mazza

If p is an odd prime, the group of endo-trivial modules for a metacyclic p-group is infinite cyclic generated by the Heller translate of the trivial module. The structure of the whole Dade group of endo-permutation modules can be deduced from this. Every k ...

Université de Lausanne2003

Role of Defects in the Ferroelectric Relaxer Lead Scandium Tantalate

Nava Setter

Unlike Pb(Mg1/3Nb2/3)O-3 and similar ferroelectric relaxors which never truly become ferroelectric at zero-field, disordered Pb(Sc1/2Ta1/2)O-3 (PST) is a relaxer that spontaneously transforms into a ferroelectric phase. The control of the degree of order o ...

1995