6533b823fe1ef96bd127f657

RESEARCH PRODUCT

Monothetic algebraic groups

Giovanni FalconePeter PlaumannKarl Strambach

subject

Naturwissenschaftliche Fakultät -ohne weitere Spezifikation-Generator (category theory)General MathematicsAlgebraic Groups Monothetic GroupsStructure (category theory)Mathematics::General TopologyField (mathematics)-CombinatoricsAlgebraic groupAffine transformationddc:510Algebraic numberMathematics

description

AbstractWe 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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