This two-volume graduate textbook gives a comprehensive, state-of-the-art account of
describing large subgroups of the unit group of the integral group ring of a finite group and …

Let μ μ be a measure on SL _ 2 (R) SL 2 (R) generating a non-compact and totally
irreducible subgroup, and let ν ν be the associated stationary (Furstenberg) measure for the …

The Riley slice is arguably the simplest example of a moduli space of Kleinian groups; it is
naturally embedded in $\mathbb {C} $, and has a natural coordinate system (introduced by …

Let q∈ C, let a= 1011, bq= 1q01, and let Gq< SL2 (C) be the group generated by a and bq.
In this paper, we study the problem of determining when the group Gq is not free for| q|< 4 …

A non-elementary Möbius group generated by two-parabolics is determined up to
conjugation by one complex parameter and the parameter space, the parameter space for …

This two-volume graduate textbook gives a comprehensive, state-of-the-art account of
describing large subgroups of the unit group of the integral group ring of a finite group and …

In this survey we revise the methods and results on the existence and construction of free
groups of units in group rings, with special emphasis in integral group rings over finite …

The Riley slice is arguably the simplest example of a moduli space of Kleinian groups; it is
naturally embedded in ℂ, and has a natural coordinate system (introduced by Linda Keen …

We study the freeness problem for subgroups of $\operatorname {SL} _2 (\mathbb {C}) $
generated by two parabolic matrices. For $ q= r/p\in\mathbb {Q}\cap (0, 4) $, where $ p $ is …

A complex number $\lambda $ is said to be non-free if the subgroup of $ SL (2,\bc) $
generated by $$ X=\begin {pmatrix} 1& 1\\0 & 1\end {pmatrix}\,\,\text {and}\,\,\, Y …