Ayoub's theorem and Chernikov groups

作者：Wehrfritz B A F^*

来源：Journal of Group Theory, 2010, 13(1): 63-69.

DOI：10.1515/JGT.2009.030

Suppose that N is a normal subgroup of the Chernikov group G such that the direct product of N and G/N is isomorphic to G. We prove that N is a direct factor of G. This extends and uses work of Ayoub on finite groups and supplements work of Nikolov and Segal on polycyclic-by-finite groups.

• 出版日期2010-1