Results 1 to 10 of about 12,692,686 (297)
Quiver theories for moduli spaces of classical group nilpotent orbits [PDF]
Journal of High Energy Physics, 2016 We approach the topic of Classical group nilpotent orbits from the perspective of the moduli spaces of quivers, described in terms of Hilbert series and generating functions.
A. Hanany, R. Kalveks
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The Electronic Journal of Combinatorics, 2006 Let $N$ be a nilpotent group normal in a group $G$. Suppose that $G$ acts transitively upon the points of a finite non-Desarguesian projective plane ${\cal P}$. We prove that, if ${\cal P}$ has square order, then $N$ must act semi-regularly on ${\cal P}$.
Gill, Nick
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Ricci-flat and Einstein pseudoriemannian nilmanifolds
Complex Manifolds, 2019 This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
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The Non-Commuting, Non-Generating Graph of a Nilpotent Group [PDF]
Electronic Journal of Combinatorics, 2020 For a nilpotent group $G$, let $\Xi(G)$ be the difference between the complement of the generating graph of $G$ and the commuting graph of $G$, with vertices corresponding to central elements of $G$ removed.
P. Cameron +2 more
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Group nilpotency from a graph point of view [PDF]
International Journal of Group Theory, 2023 Let $\Gamma_G$ denote a graph associated with a group $G$. A compelling question about finite groups asks whether or not a finite group $H$ must be nilpotent provided $\Gamma_H$ is isomorphic to $\Gamma_G$ for a finite nilpotent group $G$. In the present
Valentina Grazian +2 more
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The fuzzy subgroups for the nilpotent ( p-group) of (d23 × c2m) for m ≥ 3 [PDF]
Journal of Fuzzy Extension and Applications, 2022 A group is nilpotent if it has a normal series of a finite length n. By this notion, every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics.
Sunday Adebisi +2 more
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Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index
Journal of Harbin University of Science and Technology, 2023 In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
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Characterization of finite groups with a unique non-nilpotent proper subgroup [PDF]
International Journal of Group Theory, 2021 We characterize finite non-nilpotent groups $G$ with a unique non-nilpotent proper subgroup. We show that $|G|$ has at most three prime divisors. When $G$ is supersolvable we find the presentation of $G$ and when $G$ is non-supersolvable we show ...
Bijan Taeri, Fatemeh Tayanloo-Beyg
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Eurasian Journal of Science and Engineering, 2017 In this paper we study semi nilpotent elements in rings. It is shown that every element of Z nwhere n is square free is a trivial semi nilpotent. It is proved that every nontrivial nilpotent element is a nontrivial semi nilpotent.
Kurdistan M. Ali , Parween A. Hummadi
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On n-Nilpotent Groups and n-Nilpotency of n-Abelian Groups [PDF]
Mathematics Interdisciplinary Research, 2020 The concept of n-nilpotent groups was introduced by Moghaddam and Mashayekhy in 1991 which is in a way a generalized version of the notion of nilpotent groups.
Azam Pourmirzaei, Yaser Shakourie
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