Finite groups acting on compact complex parallelizable manifolds. (English) Zbl 07931196
Summary: We prove that the automorphism group of a compact complex parallelizable manifold is Jordan. In the course of the proof, we show that outer automorphism groups of cocompact lattices in complex Lie groups have bounded finite subgroups.
MSC:
32M18 | Automorphism groups of other complex spaces |
20B25 | Finite automorphism groups of algebraic, geometric, or combinatorial structures |
20E07 | Subgroup theorems; subgroup growth |
22E40 | Discrete subgroups of Lie groups |