Vol. 202, No. 2, 2002

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Lazard’s Theorem for differential algebraic groups and proalgebraic groups

Marcin Chalupnik and Piotr Kowalski

Vol. 202 (2002), No. 2, 305–312
Abstract

We prove that a differential group whose underlying variety is an affine space is unipotent. The problem is reduced to an infinite-dimensional version of Lazard’s Theorem.

Milestones
Received: 13 April 2000
Revised: 10 July 2000
Published: 1 February 2002
Authors
Marcin Chalupnik
Instytut Matematyki
University of Warsaw
ul. Banacha 2, 02-097 Warsaw
Poland
Piotr Kowalski
Instytut Matematyczny
University of Wrocław
pl. Grunwaldzki 2/4
50-384 Wrocław
Poland