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We produce a rigid triple of classes in the algebraic group G(2) in characteristic 5, and use it to show that the finite groups G(2)(5(n)) are not (2, 5, 5)-generated. ...
Strongly torsion generated groups are those with a single normal generator, of arbitrary finite order. They are useful for realizing sequences of abelian groups as homology groups. Known examples include stable alternating groups and stable groups generate ...
We establish a connection between Dixmier's unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L2-Betti number is non-zero or if it is finitely generate ...
Let T-1, ... , T-d be homogeneous trees with degrees q(1) + 1, ... , q(d) + 1 >= 3; respectively. For each tree, let h : Tj -> Z be the Busemann function with respect to a fixed boundary point ( end). Its level sets are the horocycles. The horocyclic produ ...
This work deals with the study of projective Mackey functors. Mackey functors are algebraic structures with operations which behave like induction, restriction and conjugation in group representation theory. These objects have properties which generalize m ...
A group of 12 architecture students from EPFL returned from the London Festival of Architecture (19 June-19 July 08), where their contribution, "Overflow", a structure that reacts to tides in the Thames River, was chosen as the best overall project among a ...
Let G be a finite group, let p be a prime number, and let K be a field of characteristic 0 and k be a field of characteristic p, both large enough. In this note, we state explicit formulae for the primitive idempotents of the ring of p-permutation kG-modul ...
This dissertation is concerned with the study of a new family of representations of finite groups, the endo-p-permutation modules. Given a prime number p, a finite group G of order divisible by p and an algebraically closed field k of characteristic p, we ...
One of the most fundamental objects in algebra is the group. There exist plenty of different groups. In the following article we consider some free abelian gorups, cyclic groups, free groups and fundamental groups as well as the products of groups and draw ...
Group communication is a programming abstraction that allows a distributed group of processes to provide a reliable service in spite of the possibility of failures within the group. The goal of the project was to improve the state of the art of group commu ...