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.
FALCONE G, PLAUMANN P, STRAMBACH, K (2007). Monothetic algebraic groups. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 82, 315-324.
Monothetic algebraic groups
FALCONE, Giovanni;
2007-01-01
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.
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