Results 21 to 30 of about 12,692,686 (297)

Freiman's theorem in an arbitrary nilpotent group [PDF]

open access: yes, 2012
We prove a Freiman–Ruzsa‐type theorem valid in an arbitrary nilpotent group. Specifically, we show that a K ‐approximate group A in an s ‐step nilpotent group G is contained in a coset nilprogression of rank at most KOs(1) and cardinality at most exp(KOs(
Matthew C. H. Tointon
semanticscholar   +1 more source

Nilpotent Fuzzy Subgroups

open access: yesMathematics, 2018
In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called the good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup.
Elaheh Mohammadzadeh, Rajab Ali Borzooei
doaj   +1 more source

From Groups to Leibniz Algebras: Common Approaches, Parallel Results [PDF]

open access: yesAdvances in Group Theory and Applications, 2018
In this article, we study (locally) nilpotent and hyper-central Leibniz algebras. We obtained results similar to those in group theory. For instance, we proved a result analogous to the Hirsch-Plotkin Theorem for locally nilpotent groups.
L.A. Kurdachenko   +2 more
doaj   +1 more source

Nilpotent Groups [PDF]

open access: yesFormalized Mathematics, 2010
Nilpotent Groups This article describes the concept of the nilpotent group and some properties of the nilpotent groups.
Li, Dailu, Liang, Xiquan, Men, Yanhong
openaire   +2 more sources

Generalized Analogs of the Heisenberg Uncertainty Inequality [PDF]

open access: yes, 2015
We investigate locally compact topological groups for which a generalized analogue of Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds for $\mathbb{R}^n \times K$ (where $K$ is a separable unimodular locally ...
Bansal, Ashish, Kumar, Ajay
core   +2 more sources

Computing nilpotent quotients in finitely presented Lie rings [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 1997
A nilpotent quotient algorithm for finitely presented Lie rings over Z (and Q) is described. The paper studies the graded and non-graded cases separately.
Csaba Schneider
doaj   +2 more sources

Sharp regularity for certain nilpotent group actions on the interval [PDF]

open access: yes, 2011
According to the classical Plante–Thurston Theorem, all nilpotent groups of $$C^2$$C2-diffeomorphisms of the closed interval are Abelian. Using techniques coming from the works of Denjoy and Pixton, Farb and Franks constructed a faithful action by $$C^1$$
Gonzalo Castro, E. Jorquera, A. Navas
semanticscholar   +1 more source

On groups covered by locally nilpotent subgroups [PDF]

open access: yes, 2016
Let N be the class of pronilpotent groups, or the class of locally nilpotent profinite groups, or the class of strongly locally nilpotent profinite groups. It is proved that a profinite group G is finite-by-N if and only if G is covered by countably many
Detomi, Eloisa   +2 more
core   +1 more source

Pseudocomplete nilpotent groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1983
Semicomplete nilpotent groups, that is, nilpotent groups with no outer automorphisms, have been of interest for many years. In this paper pseudocomplete nilpotent groups, that is, nilpotent groups in which the automorphism group and the inner automorphism group are isomorphic (not equal), are constructed.
openaire   +2 more sources

Fitting quotients of finitely presented abelian-by-nilpotent groups [PDF]

open access: yes, 2013
We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal subgroup.Comment: This second version takes into account the suggestions by the ...
Groves, J. R. J., Strebel, Ralph
core   +2 more sources

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