Results 51 to 60 of about 1,915 (136)

Powerfully nilpotent groups [PDF]

open access: yes, 2019
We introduce a special class of powerful p-groups that we call powerfully nilpotent groups that are finite p-groups that possess a central series of a special kind.
Traustason, Gunnar, Williams, James
core   +1 more source

Decidability and stability of free nilpotent lie algebras and free nilpotent p-groups of finite exponent

open access: yes, 1982
Our main result is the decidability and ω-stability of free cth nilpotent p-groups of finite exponent (c < p)
Andreas Baudisch, Baudisch, Andreas
core   +1 more source

Cohomology and the subgroup structure of a finite soluble group [PDF]

open access: yes
The main topic of this thesis is the discovery and study of a cohomological property of the subgroups called F-normalizers in finite soluble groups; namely, the property that with certain coefficient modules the restriction map in cohomology from a ...
Wilde, Thomas Stephen
core  

Finitely generated nilpotent groups with isomorphic finite quotients

open access: yes, 1971
Let F ( G ) \mathcal {F}(G) denote the set of isomorphism classes of finite homomorphic images of a group G G .
P. F. Pickel
core   +1 more source

Nilpotent-by-finite groups with isomorphic finite quotients

open access: yes, 1973
Let F ( G ) \mathcal {F}(G) denote the set of isomorphism classes of finite homomorphic images of a group G. We say that groups G and H have isomorphic finite quotients if
P. F. Pickel
core   +1 more source

FINITE p r-NILPOTENT GROUPS. II

open access: yes, 1987
: In this paper we continue the study of finite p'-nilpotent groups that was started in the first part of this paper. Here we give a complete characterization of all finite groups that are not p'-nilpotent but all of whose proper subgroups are ...
30j S Srinivasan
core  

Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov

open access: yes, 2012
We pursue further our investigation, begun in [H.~Smith, Groups with all subgroups subnormal or nilpotent-by-{C}hernikov, emph{Rend. Sem. Mat. Univ. Padova} 126 (2011), 245--253] and continued in [G.~Cutolo and H.~Smith, Locally finite groups with all ...
Smith, Howard   +5 more
core   +1 more source

On Torsion-by-Nilpotent Groups

open access: yes, 2001
Let C be a class of groups, closed under taking subgroups and quotients. We prove that if all metabelian groups of C are torsion-by-nilpotent, then all soluble groups of C are torsion-by-nilpotent.
Traustason, Gunnar, Endimioni, Gérard
core   +1 more source

The Number of Subgroup Chains of Finite Nilpotent Groups

open access: yes, 2020
In this paper, we mainly count the number of subgroup chains of a finite nilpotent group. We derive a recursive formula that reduces the counting problem to that of finite p-groups.
Lingling Han, Xiuyun Guo
core   +1 more source

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