Groups bicrossed product by automorphisms
by
Nicolae Ciprian Bonciocat
Institute of Mathematics of the Romanian Academy

We present necessary and sufficient conditions for a pair of groups to be matched by automorphisms (in the sense of Takeuchi). Then we find a number-theoretical equivalent condition for the case when the pair of groups consists of two finite cyclic groups. Finally we show that finite soluble groups which are not p-groups and whose derived subgroups are nilpotent are necessarily bicrossed products by automorphisms.

Date received: August 7, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafe-54.