Concept

Classification of finite simple groups

Related publications (122)

$A_1$-type subgroups containing regular unipotent elements

Let be a simple exceptional algebraic group of adjoint type over an algebraically closed field of characteristic and let be a subgroup of containing a regular unipotent element of . By a theorem of Testerman, is contained in a connected subgroup of of type ...

2019

Group Approximation in Cayley Topology and Coarse Geometry, Part II: Fibred Coarse Embeddings

Masato Mimura

The objective of this series is to study metric geometric properties of disjoint unions of Cayley graphs of amenable groups by group properties of the Cayley accumulation points in the space of marked groups. In this Part II, we prove that a disjoint union ...

2019

Group Actions On Dendrites And Curves

Nicolas Monod

We establish obstructions for groups to act by homeomorphisms on dendrites. For instance, lattices in higher rank simple Lie groups will always fix a point or a pair. The same holds for irreducible lattices in products of connected groups. Further results ...

ANNALES INST FOURIER2018

Lifting endo-p-permutation modules

Jacques Thévenaz, Caroline Lassueur

We prove that all endo-p-permutation modules for a finite group are liftable from characteristic p to characteristic 0. ...

2018

Local Representation Theory and Simple Groups

Donna Testerman, Gunter Malle, Radha Kessar

The book contains extended versions of seven short lecture courses given during a semester programme on Local Representation Theory and Simple Groups, held at the Centre Interfacultaire Bernoulli of the EPF Lausanne. These courses focused on modular repres ...

European Mathematical Society2018

Modular functors, cohomological field theories, and topological recursion

Nicolas Gerson Orantin

Given a topological modular functor V in the sense of Walker, we construct vector bundles Z (lambda) over bar, over (M) over bar (g,n) whose Chern characters define semi-simple cohomological field theories. This construction depends on a determinati ...

AMER MATHEMATICAL SOC2018

Endo-trivial modules: a reduction to p'-central extensions

Jacques Thévenaz, Caroline Lassueur

We examine how, in prime characteristic p, the group of endotrivial modules of a finite group G and the group of endotrivial modules of a quotient of G modulo a normal subgroup of order prime to p are related. There is always an inflation map, but examples ...

2017

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

The equivalent pier method for energy pile groups

Lyesse Laloui, Alessandro Francesco Rotta Loria

This study presents a method for estimating the average vertical displacement of energy pile groups subjected to thermal loads. The method consists of replacing any regular energy pile group with a single equivalent pier of the same length and an equivalen ...

2017

The equivalent pier method for energy pile groups

Lyesse Laloui, Alessandro Francesco Rotta Loria

2017

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