Results 41 to 50 of about 1,915 (136)

Finiteness properties of profinite groups

open access: yes, 2010
PhDBroadly speaking, a finiteness property of groups is any generalisation of the property of having finite order. A large part of infinite group theory is concerned with finiteness properties and the relationships between them. Profinite groups are an
Colin David Reid, Reid, Colin David
core  

On almost finitely generated nilpotent groups [PDF]

open access: yes, 1996
A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p.
Peter Hilton, Robert Militello
core   +2 more sources

On ramification structures for finite nilpotent groups

open access: yes, 2019
We extend the characterization of abelian groups with ramification structures given by Garion and Penegini in [Beauville surfaces, moduli spaces and finite groups, Comm. Algebra, 2014] to finite nilpotent groups whose Sylow p-subgroups have a 'nice power
Gül Erdem, Şükran
core   +1 more source

On finite minimal non-nilpotent groups [PDF]

open access: yes, 2005
First published in Proceedings of the American Mathematical Society in volume 12, number 6:961-963 (2009), published by the American Mathematical Society http://dx.doi.org/10.1090/S0002-9939-05-07996-7 http://www.ams.org/journals/proc/2005-133-12/S0002-
A. Ballester-bolinches   +7 more
core   +1 more source

Description of Barely Transitive Groups with Soluble Point Stabilizer

open access: yes, 2009
We describe the barely transitive groups with abelian-by-finite, nilpotent-by-finite and soluble-by-finite point stabilizer. In article [6] Hartley asked whether there is a torsionfree barely transitive group. One consequence of our results is that there
Betin, Cansu, Kuzucuoğlu, Mahmut
core   +1 more source

A computational approach to 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

open access: yes, 2010
Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
core  

Residually finite groups / Lim Hui Min [PDF]

open access: yes, 2012
In this thesis, we will study a stronger residually finite property called weak potency. More precisely, we aim to study the weak potency of HNN extensions and generalised free products of weakly potent groups and the main tools we used are lters. First
Lim, Hui Min
core  

On the structure of finite loop capable nilpotent groups [PDF]

open access: yes, 2010
summary:In this paper we consider finite loops and discuss the problem which nilpotent groups are isomorphic to the inner mapping group of a loop. We recall some earlier results and by using connected transversals we transform the problem into a group ...
Rytty, Miikka, Xu, Senrong, Tan, Youjun
core   +1 more source

p-groups of automorphisms of Abelian p-groups

open access: yes, 2000
We consider the action of a p-group G on an Abelian p-group A, with the latter treated as a faithful right â?¤,G-module. Our aim is to establish a connection between exponents of the kernels under the induced action of G on elementary p-group A-pA and Î ...
Evgeny Khukhro (17161393)
core   +1 more source

Finite nilpotent characteristic nonverbal groups

open access: yes, 1970
In this paper, we study nilpotent groups which are quotient groups of finitely generated free groups with respect to characteristic but nonverbal subgroups. We show that there are no abelian groups of the type in question.
Orin Chein
core   +1 more source

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