J. Aust. Math. Soc.
82 (2007), 315-324
|
Monothetic algebraic groups
|
Giovanni Falcone
Dipartimento di Metodi e Modelli Matematici
Università di Palermo
viale delle Scienze
I-90128 Palermo
Italy
gfalcone@unipa.it
|
|
|
|
|
|
Abstract
|
We call an algebraic group monothetic if it
possesses a dense cyclic subgroup. For an
arbitrary field k we describe the
structure of all, not necessarily affine,
monothetic k-groups
G
and determine in which cases
G
has a k-rational generator.
|
Download the article in PDF format (size 123 Kb)
|
|
|
Australian Mathematical Publishing Association Inc.
|
©
Australian MS
|
|