Publication
Counting conjugacy classes of cyclic subgroups for fusion systems
Publications associées (45)
Approximating nonabelian free groups by groups of homeomorphisms of the real line
We show that for a large class C of finitely generated groups of orientation preserving homeomorphisms of the real line, the following holds: Given a group G of rank k in C, there is a sequence of k-markings (G,S-n), n is an element of N whose limit in the ...
2020$A_1$-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 ...
2019Finitely generated infinite simple groups of homeomorphisms of the real line
We construct examples of finitely generated infinite simple groups of homeomorphisms of the real line. Equivalently, these are examples of finitely generated simple left (or right) orderable groups. This answers a well known open question of Rhemtulla from ...
SPRINGER HEIDELBERG2019Survey on the Figà–Talamanca Herz algebra
This paper presents a self contained approach to the theory of convolution operators on locally compact groups (both commutative and non commutative) based on the use of the Figà–Talamanca Herz algebras. The case of finite groups is also considered. ...
2019Group Approximation in Cayley Topology and Coarse Geometry, Part II: Fibred Coarse Embeddings
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 ...
2019Local 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 Society2018Lifting 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. ...
2018Endo-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 ...
2017The Minimal Faithful Permutation Degree For A Direct Product Obeying An Inequality Condition
The minimal faithful permutation degree (G) of a finite group G is the least nonnegative integer n such that G embeds in the symmetric group Sym(n). Clearly (G x H) (G) + (H) for all finite groups G and H. In 1975, Wright ([10]) proved that equality occurs ...
Taylor & Francis Inc2016Small Spectral Radius And Percolation Constants On Non-Amenable Cayley Graphs
Motivated by the Benjamini-Schramm non-unicity of percolation conjecture we study the following question. For a given finitely generated nonamenable group Gamma, does there exist a generating set S such that the Cayley graph (Gamma, S), without loops and m ...
American Mathematical Society2015