Results 41 to 50 of about 1,915 (136)
Finiteness properties of profinite groups
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
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On almost finitely generated nilpotent groups [PDF]
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
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On ramification structures for finite nilpotent groups
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
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On finite minimal non-nilpotent groups [PDF]
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
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Description of Barely Transitive Groups with Soluble Point Stabilizer
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
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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
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Residually finite groups / Lim Hui Min [PDF]
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
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On the structure of finite loop capable nilpotent groups [PDF]
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
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p-groups of automorphisms of Abelian p-groups
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)
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Finite nilpotent characteristic nonverbal groups
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
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