×

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