Characterizing some groups with nilpotent derived subgroup

Finite Groups With a Certain Number of Elements Pairwise Generating a Non-Nilpotent Subgroup

Some Remarks on Nilpotent Groups with Roots

is soluble for every pG.m and every gGG. Similarly we call a group G a Dor-group if the equation (1) (above) is not only soluble, but uniquely soluble. The class of Fur-groups and the class of Dor-groups will be denoted respectively by Em and Dm. Clearly Em~2)Dm. There is a less trivial relationship between these two classes of groups. If we denote by ©(C) the class of groups which occur as hom...

Normal subgroup growth in free class-2-nilpotent groups

Let F2,d denote the free class-2-nilpotent group on d generators. We compute the normal zeta functions ζ F2,d(s), prove that they satisfy local functional equations and determine their abscissae of convergence and pole orders.

Some Inequalities for Nilpotent Multipliers of Powerful p-Groups

Some Algorithms for Nilpotent Permutation Groups

(Received) Let G, H and E be subgroups of a nite nilpotent permutation group of degree n. We describe the theory and implementation of an algorithm to compute the normalizer N G (H) in time polynomial in n, and we give a modiied algorithm to determine whether H and E are conjugate under G and, if so, to nd a conjugating element of G. Other algorithms produce the intersection G \ H and the centr...