Results 21 to 30 of about 46,068 (245)
Homotopy nilpotent groups [PDF]
, 2007 We study the connection between the Goodwillie tower of the identity and the lower central series of the loop group on connected spaces. We define the simplicial theory of homotopy n-nilpotent groups. This notion interpolates between infinite loop spaces
Arone +11 more
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Homotopy colimits of nilpotent spaces [PDF]
, 2014 We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages, in particular classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups.
Chacholski, Wojciech +3 more
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On groups covered by locally nilpotent subgroups [PDF]
, 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
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On Torsion-by-Nilpotent Groups
Journal of Algebra, 2001 Here are the main results of the article under review: Theorem 1.1. Let \(\wp\) be a class of groups, which is closed under taking subgroups and quotients. Suppose that all metabelian groups of \(\wp\) are torsion-by-nilpotent. Then all soluble groups of \(\wp\) are torsion-by-nilpotent. Theorem 1.2. Let \(H\) be a normal subgroup of a group \(G\). If \
Endimioni, Gérard, Traustason, Gunnar
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Mathematics, 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
Journal of Algebra, 2006 Let \(G\) be a finite group and order the set of sizes of conjugacy classes of \(G\) decreasingly to obtain what is called the conjugate type vector of \(G\). The authors show by examples that if \(H\) is nilpotent and if \(G\) and \(H\) have the same conjugate type vector, then \(G\) is not necessarily nilpotent.
Camina, A.R., Camina, R.D.
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Sums of prime element orders in finite groups
Journal of Taibah University for Science, 2018 Let G be a finite group and $\psi _*(G)$ denote the sum of prime element orders of G. This paper presents some properties of $\psi _*$ and investigate the minimum value and the maximum value of $\psi _*$ on the set of groups of the same order.
C. Beddani, W. Messirdi
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Glasgow Mathematical Journal, 2019 AbstarctLetγn= [x1,…,xn] be thenth lower central word. Denote byXnthe set ofγn-values in a groupGand suppose that there is a numbermsuch that$|{g^{{X_n}}}| \le m$for eachg∈G. We prove thatγn+1(G)has finite (m, n) -bounded order. This generalizes the much-celebrated theorem of B. H. Neumann that says that the commutator subgroup of a BFC-group is finite.
ELOISA DETOMI +3 more
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On almost finitely generated nilpotent groups
International Journal of Mathematics and Mathematical Sciences, 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
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Pseudocomplete nilpotent groups [PDF]
Proceedings 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.
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