Results 21 to 30 of about 42,853 (196)
Groups whose Proper Subgroups of Infinite Rank are Minimax-by-Nilpotent or Nilpotent-by-Minimax [PDF]
Advances in Group Theory and Applications, 2020 Let M denote the class of of soluble-by-finite minimax groups, and N the class of nilpotent groups. The main result states that if G is a group of infinite rank whose proper subgroups of infinite rank are MN-groups, then G is either in MN or it is a ...
Amel Zitouni
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Generalized Analogs of the Heisenberg Uncertainty Inequality [PDF]
, 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
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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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Oscillatory singular integrals and harmonic analysis on nilpotent groups. [PDF]
Proc Natl Acad Sci U S A, 1986 Ricci F, Stein EM.
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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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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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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
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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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Random Nilpotent Groups I [PDF]
International Mathematics Research Notices, 2017 We study random nilpotent groups in the well-established style of random groups, by choosing relators uniformly among freely reduced words of (nearly) equal length and letting the length tend to infinity. Whereas random groups are quotients of a free group by such a random set of relators, random nilpotent groups are formed as corresponding quotients ...
Cordes, Matthew +4 more
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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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