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We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2, C) connections on a closed Riemann surface. We show that the trivial part of the action contains t...
The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the ca...
The irreducible admissible representations of a real reductive group such as GL(n, R) have been classified by work of Langlands, Knapp, Zuckerman and Vogan. This classification is somewhat involved an...
For a regular 2(l1+l2)−k design D containing l1 Group I factors and l2 Group II factors, let Ai1,i2(D) be the number of words in the defining contrast subgroup containing i1 Group I factors and ...
Abstract: Let $G$ be a finite group of Lie type and $\ell$ be a prime which is not equal to the defining characteristic of $G$. In this note we discuss some open problems concerning the $\ell$-modular...
Orderable groups      Orderable groups        2011/2/28
In this work we study orderable groups. We put special attention to Conradian orderings.In Chapter 1 we give the basic background and notations. We also give a new characterization of the Conrad prop...
Let G denote a closed, connected, self adjoint, noncompact subgroup of GL(n,R), and let dR and dL denote respectively the right and left invariant Riemannian metrics defined by the canonical inner pr...
We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kaehler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is bo...
Let (\rho_\lambda)_{\lambda\in \Lambda} be a holomorphic family of representations of a finitely generated group G into PSL(2,C), parameterized by a complex manifold \Lambda . We define a notion of b...
This paper characterizes the quasilocal fields from the class of Henselian valued fields with totally indivisible value groups, over which there exist finite separable extensions of nontrivial defect...
Let G be a connected reductive algebraic group over an algebraically closed field k. In a recent paper, Bate, Martin, R¨ohrle and Tange show that every (smooth) subgroup of G is separable provided th...
In this paper a secret sharing scheme based on the word prob-lem in groups is introduced. The security of the scheme and possible variations are discussed in section 2. The article concludes with the ...
For a Carnot group G, we establish the relationshipbetween extended mean values and r-convex functions which isintroduced in this paper, which is a class of inequalities ofHadamard type for r-convex f...
It is shown how to use a small finite state automaton in two variables in order to carry out the Knuth-Bendix process for rewriting words in a group in shortlex order. The two-variable automaton can ...

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