Discrete parabolic groups

Discrete RP groups with a parabolic generator

We deal with two-generator subgroups of PSL(2, C) with real traces of both generators and their commutator. We give discreteness criteria for these groups when at least one of the generators is parabolic. We also present a list of the corresponding orbifolds. Mathematics Subject Classification (2000): Primary: 30F40; Secondary: 20H10, 22E40, 57M60, 57S30.

Structural Properties of Inner Amenable Discrete Groups

Parabolic Transfer for Real Groups

This paper is the second of two articles in real harmonic analysis. In the first paper [A14], we established asymptotic formulas for some natural distributions on a real group. In this paper we shall establish important relationships among the distributions as the group varies. The group is the set of real points of a connected reductive group G over R. The distributions are weighted orbital in...

Automorphism Groups of Parabolic Geometriesandreas

Parabolic subgroups of Garside groups

A Garside monoid is a cancellative monoid with a finite lattice generating set; a Garside group is the group of fractions of a Garside monoid. The family of Garside groups contains the Artin-Tits groups of spherical type. We generalise the well-known notion of a parabolic subgroup of an Artin-Tits group into that of a parabolic subgroup of a Garside group. We also define the more general notion...