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Subgroups of finite index in nilpotent groups

- F. Grunewald, D. Segal, G. C. Smith
- Mathematics
- 1 February 1988

Analytic properties of zeta functions and subgroup growth

- M. Sautoy, F. Grunewald
- Mathematics
- 1 November 2000

It has become somewhat of a cottage industry over the last fifteen years to understand the rate of growth of the number of subgroups of finite index in a group G. Although the story began much… Expand

Beauville surfaces without real structures

- I. Bauer, F. Catanese, F. Grunewald
- Mathematics
- 2 August 2004

Inspired by a construction by Arnaud Beauville of a surface of general type with K 2 = 8, p g = 0, the second author defined Beauville surfaces as the surfaces which are rigid, i.e., without… Expand

Varieties of nilpotent Lie algebras of dimension less than six

- F. Grunewald, J. O'Halloran
- Mathematics
- 1 February 1988

Linear Representations of the Automorphism Group of a Free Group

- F. Grunewald, A. Lubotzky
- Mathematics
- 8 June 2006

Abstract.Let Fn be the free group on n ≥ 2 elements and Aut(Fn) its group of automorphisms. In this paper we present a rich collection of linear representations of Aut(Fn) arising through the action… Expand

Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory

- J. Elstrodt, F. Grunewald, J. Mennicke
- Mathematics
- 25 November 1997

1. Three-Dimensional Hyperbolic Space.- 2. Groups Acting Discontinuously on Three-Dimensional Hyperbolic Space.- 3. Automorphic Functions.- 4. Spectral Theory of the Laplace Operator.- 5. Spectral… Expand

The classification of surfaces with p_g = q = 0 isogenous to a product of curves

- I. Bauer, F. Catanese, F. Grunewald
- Mathematics
- 8 October 2006

We classify all the surfaces with p_g = q = 0 which admit an unramified covering which is isomorphic to a product of curves. Beyond the trivial case \PP^1 x \PP^1 we find 17 families which we… Expand

Quotients of products of curves, new surfaces with pg = 0 and their fundamental groups.

- I. Bauer, F. Catanese, F. Grunewald, R. Pignatelli
- Mathematics
- 19 September 2008

We construct many new surfaces of general type with $q=p_g = 0$ whose canonical model is the quotient of the product of two curves by the action of a finite group $G$, constructing in this way many… Expand

Zeta functions of groups and rings

- M. Sautoy, F. Grunewald
- Mathematics
- 14 December 2007

We report on progress and problems concerning the analytical behaviour of the zeta
functions of groups and rings. We also describe how these generating functions are special cases
of adelic cone… Expand

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