*PM : classification of finite nilpotent groups, id = 3755-- WP guess : classification of finite nilpotent groups-- Status:
12.
*PM : classification of finite nilpotent groups, id = 3755-- WP guess : classification of finite nilpotent groups-- Status:
13.
A Riemannian manifold is called a "'homogeneous nilmanifold "'if there exist a nilpotent group of isometries acting transitively on it.
14.
His thesis, " Zeta functions of torsion-free finitely generated nilpotent groups ", was written under the direction of Dan Segal.
15.
A Carter subgroup is a maximal nilpotent subgroup, because of the normalizer condition for nilpotent groups, but not all maximal nilpotent subgroups are Carter subgroups.
16.
An earlier result of Joseph A . Wolf showed that if " G " is a finitely generated nilpotent group, then the group has polynomial growth.
17.
The nilpotent groups whose center is cyclic and derived subgroup has order " p " and whose conjugacy classes are at most countably infinite are classified in.
18.
Since the Fitting subgroup of a finite solvable group contains its own centralizer, this gives a method of understanding finite solvable groups as faithful automorphism groups of nilpotent groups.
19.
These series can be constructed for any group, and if a group has a central series ( is a nilpotent group ), these procedures will yield central series.
20.
Beyond Gromov's theorem one can ask whether there exists a gap in the growth spectrum for finitely generated group just above polynomial growth, separating virtually nilpotent groups from others.
