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On the power maps, orders and exponentiality of p-adic algebraic groups.
- Source :
-
Journal für die Reine und Angewandte Mathematik . Apr2009, Vol. 2009 Issue 629, p201-220. 20p. - Publication Year :
- 2009
-
Abstract
- In this paper we study the question of surjectivity of the power maps g ↦ gn on p-adic algebraic groups. We give a complete solution of this question in terms of the orders of certain compact analytic subgroups. We next study the p-adic one parameter subgroups of p-adic algebraic groups and find conditions, when the union of all such one parameter groups fills up the entire group. We show that there is a close relation between the above two problems. We also obtain similar results on groups defined over rational numbers. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2009
- Issue :
- 629
- Database :
- Academic Search Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 47543620
- Full Text :
- https://doi.org/10.1515/CRELLE.2009.031