CT-nilpotent groups

Author: Mikheil Amaglobeli
Keywords: Nilpotent groups, algebraic-geometry on groups, algebraic set, coordinate group.
Annotation:

The notion of CT-groups plays the important role in the group theory. Unfortunately this does not work in the theory of nilpotent groups. For this reason a new notion of CT1-group is introduced. In my talk I'll discuss the properties of the class of CT1-nilpotent groups and mention some applications to irreducible coordinate groups of 2-nilpotent Q-groups. Amaglobeli, M.G., Algebraic sets and coordinate groups for a free nilpotent group of nilpotency class 2, Siberian Mathematical Journal T.58(1), (2007)3-7. M. G. Amaglobeli and V. N. Remeslennikov,CENTRALIZER EXTENSION IN NILPOTENT GROUPS, Siberian Mathematical Journal, 2013,http://www.maik.ru/abstract/simj/13/simj0001_abstract.pdf