Now showing items 1-20 of 29

  • An algorithm for the unit group of the Burnside ring of a finite group 

    Boltje, Robert; Pfeiffer, Götz (Cambridge University Press, 2007-01)
    In this note we present an algorithm for the construction of the unit group of the Burnside ring Ω(G) of a finite group G from a list of representatives of the conjugacy classes of subgroups of G.
  • The BMR freeness conjecture for the 2-reflection groups 

    Marin, Ivan; Pfeiffer, Götz (American Mathematical Society, 2016-10-12)
    We prove the freeness conjecture of Broue, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2-reflection groups with a single conjugacy class of reflections.
  • Cell complexes database for the Bianchi groups 

    Rahm, Alexander D. (NUI Galway, 2016-05-18)
    This is a database of quotients by Bianchi groups of two-dimensional cellular equivariant retracts of Hyperbolic three-space. The Bianchi groups SL(2, A), with A the ring of integers in the imaginary quadratic number field ...
  • Cohomology of Coxeter arrangements and Solomon's descent algebra 

    Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (American Mathematical Society, 2014-06-19)
    We refine a conjecture by Lehrer and Solomon on the structure of the Orlik-Solomon algebra of a finite Coxeter group W and relate it to the descent algebra of W. As a result, we claim that both the group algebra of W and ...
  • Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six 

    Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2013-01-08)
    In recent papers we have refined a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the graded components of its Orlik-Solomon algebra as a sum of characters induced from ...
  • Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight 

    Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2014-11-06)
    In this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the p-th graded ...
  • Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four 

    Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2012-06-03)
    In recent papers we have refined a conjecture of Lehrer and Solomon expressing the characters of a finite Coxeter group W afforded by the homogeneous components of its Orlik-Solomon algebra as sums of characters induced ...
  • Computing the table of marks of a cyclic extension 

    Naughton, L.; Pfeiffer, Götz (American Mathematical Society, 2012-02-24)
    The subgroup pattern of a finite group C is the table of marks of G together with a list of representatives of the conjugacy classes of subgroups of G. In this article we present an algorithm for the computation of the ...
  • Extreme softness of brain matter in simple shear 

    Destrade, Michel; Murphy, J.G.; Gilchrist, M.; Rashid, J.G.; Saccomandi, Giuseppe (Elsevier, 2015-03-13)
    We show that porcine brain matter can be modelled accurately as a very soft rubber-like material using the Mooney-Rivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ...
  • Gent models for the inflation of spherical balloons 

    Mangan, Robert; Destrade, Michel (Elsevier, 2015)
    We revisit an iconic deformation of non-linear elasticity: the inflation of a rubber spherical thin shell. We use the 3-parameter Mooney and Gent-Gent (GG) phenomenological models to explain the stretch-strain curve of a ...
  • Incremental equations for soft fibrous materials 

    Destrade, Michel (Springer, 2015)
    The general theory of nonlinear anisotropic elasticity is extended to describe small-amplitude motions and static deformations that can be superimposed on large pre-strains of fibre-reinforced solids. The linearised ...
  • An inductive approach to Coxeter arrangements and Solomon's descent algebra 

    Dolan, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Springer Verlag, 2012-07-20)
    In our recent paper (Douglass et al. arXiv: 1101.2075 (2011)), we claimed that both the group algebra of a finite Coxeter group W as well as the Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional ...
  • Interface waves in pre-stressed incompressible solids 

    Destrade, Michel (Springer, 2007)
    We study incremental wave propagation for what is seemingly the simplest boundary value problem, namely that constitued by the plane interface of a semi-infinite solid. With a view to model loaded elastomers and soft ...
  • Introduction to the special issue on stability under finite deformation 

    Destrade, Michel; Saccomandi, Giuseppe (Oxford University Press, 2010)
    In the botanical gardens of Grenoble, France, there is small bridge, just a few metres long, made of pre-stressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured pre-stressed structure ...
  • John Todd and the development of modern numerical analysis 

    Niall Madden (2012)
    The purpose of this article is to mark the centenary of the birth of John Todd, a pioneer in the fields of numerical analysis and computational science. A brief account is given of his early life and career, and that of ...
  • Measuring the linear and nonlinear elastic properties of brain tissue with shear waves and inverse analysis 

    Jiang, Yi; Li, Guoyang; Qian, Lin-Xue; Liang, Si; Destrade, Michel; Cao, Yanping (Springer, 2015-02-20)
    We use supersonic shear wave imaging (SSI) technique to measure not only the linear but also the nonlinear elastic properties of brain matter. Here, we tested six porcine brains ex vivo and measured the velocities of the ...
  • Mechanical properties of excised human skin 

    Ni Annaidh, Aisling; Ottenio, M.; Bruyere, K.; Destrade, Michel; Gilchrist, Michael D. (Springer Verlag, 2010)
    In this study we have investigated in influence of location, gender and orientation on the deformation characteristics of 55 samples of human excised skin. Uniaxial tensile tests were carried out at a strain rate of ...
  • Multiples of Pfister forms 

    O'Shea, James (Elsevier, 2016-03-01)
    The isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, ...
  • A note about waves in dissipative and dispersive solids 

    Destrade, Michel; Saccomandi, Giuseppe (World Scientific, 2008)
    We study shear waves propagating in a special viscoelastic model proposed first by Fosdick and Yu in 1996. We deduce an asymptotic approximation which reduces the full balance equations to a system of evolution equations ...
  • A note on element centralizers in finite Coxeter groups 

    Konvalinka, Matjaž; Pfeiffer, Götz; Röver, Claas E. (De Gruyter, 2011-08-29)
    The normalizer N-W(W-J) of a standard parabolic subgroup W-J of a finite Coxeter group W splits over the parabolic subgroup with complement N-J consisting of certain minimal length coset representatives of W-J in W. In ...