A note on groups definable in difference fields

Authors
Kowalski, P Pillay, A
Citation
P. Kowalski et A. Pillay, A note on groups definable in difference fields, P AM MATH S, 130(1), 2001, pp. 205-212
Citations number
11
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
130
Issue
1
Year of publication
2001
Pages
205 - 212
Database
ISI
SICI code
0002-9939(2001)130:1<205:ANOGDI>2.0.ZU;2-F
Abstract
We prove that a group definable in a model of ACFA is virtually definably e mbeddable in an algebraic group. We give an improved proof of the same resu lt for groups definable in differentially closed fields. We also extend to the difference field context results on the unipotence of definable groups on affine spaces.