New York Journal of Mathematics
Volume 5 (1999) 101-105

  

C. R. E. Raja

On Classes of p-adic Lie Groups


Published: July 20, 1999
Keywords: p-adic Lie groups, algebraic groups, non-contracting, distal, type R, polynomial growth
Subject: primary 22E35, secondary 15A18

Abstract
We consider non-contracting p-adic Lie groups and we establish equivalence relations and connections among the following classes of p-adic Lie groups: (1) non-contracting; (2) type R; (3) distal and (4) Tortrat. We also deduce that non-contracting p-adic Lie groups are unimodular and IN p-adic Lie groups are non-contracting.

Author information

Université d'Angers, Faculté des Sciences, Départment de Mathématiques, 2, Boulevard Lavoisier, 49045 Angers Cedex 01, France
raja@tonton.univ-angers.fr