activity
19992006
most citedUniform Exponential Growth of Polycyclic Groups

6 citations · 27 across the 12 of their papers we have counts for

collaborators

12 papers

math.GR2006★ 5 cited

Metabelian Wreath Products Are LERF

Roger C. Alperin

We show that a wreath product of two finitely generated abelian groups is LERF. Consequently the free metabelian groups are LERF.

math.NT2006★ 4 cited

Remarks on a Problem of Eisenstein

Roger C. Alperin

The fundamental unit of for square-free is either or where denotes the fundamental unit of the maximal order of $\Q(\sqrt{N})$. We give inf…

math.GR2004★ 3 cited

Nonvanishing of algebraic entropy for geometrically finite groups of isometries of Hadamard manifolds

Roger C. Alperin, Guennady A. Noskov

We prove that any geometrically finite (nonelementary) group of isometries of a pinched Hadamard manifold has uniform exponential growth.

math.HO2004

Trisections and Totally Real Origami

Roger C. Alperin

We introduce a trisection axiom for mathematical origami and descibe the totally real origami numbers. We also discuss the solution of Alhazen's problem and its relation to trisect…

math.GR2004★ 4 cited

Separability of Solvable Subgroups in Linear Groups

Roger Alperin, Benson Farb

Let G be a finitely generated linear group over a field of characteristic 0. Suppose that every solvable subgroup of G is polycyclic. Then the claim is made that any solvable subgr…

math.GR2001★ 2 cited

Uniform Growth, Actions on Trees and

Roger C. Alperin, Guennadi A. Noskov

We use actions on trees to determine uniform exponential growth for subgroups of .