Abstract.
We classify the connected commutative algebraic groups having as lattice of connected closed subgroups a projective space and determine the coordinate fields of these projective spaces. Furthermore we determine the not necessarily commutative connected algebraic groups with a distributive or boolean lattice of connected closed subgroups.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
Received: 3 December 2004
Rights and permissions
About this article
Cite this article
Plaumann, P., Strambach, K. & Zacher, G. Der Verband der zusammenhängenden Untergruppen einer kommutativen algebraischen Gruppe. Arch. Math. 85, 37–48 (2005). https://doi.org/10.1007/s00013-005-1384-0
Issue Date:
DOI: https://doi.org/10.1007/s00013-005-1384-0