Results 1 to 10 of about 46,068 (245)
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 $\mathcal{P}$.
Gill, Nick
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Generalized nilpotent braces and nilpotent groups [PDF]
International Journal of Group Theory, 2023 The authors give a brief survey of some results concerning nilpotent braces and their generalizations. Various results concerning $\star$-hypercentral and locally $\star$-nilpotent braces are given.
Martyn Dixon +2 more
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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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On a result of nilpotent subgroups of solvable groups [PDF]
International Journal of Group Theory, 2022 Heineken [H. Heineken, Nilpotent subgroups of finite soluble groups, Arch. Math.(Basel), 56 no. 5 (1991) 417--423.] studied the order of the nilpotent subgroups of the largest order of a solvable group.
Yong Yang
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Formalized Mathematics, 2010 Nilpotent Groups This article describes the concept of the nilpotent group and some properties of the nilpotent groups.
Dailu Li, Xiquan Liang, Yanhong Men
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Some results on schur multiplier of pairs of groups [PDF]
Mathematics and Computational Sciences, 2021 In this paper , we study the concept of the c-nilpotent multiplier of a pair of groups and prove that the c-nilpotent multipliers of perfect pairs of groups are isomorphic .Also, we prove an inequality for the order of the Schur multiplier of a pair of ...
H Arabyani
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Hilbert's theorem 90 for finite nilpotent groups [PDF]
International Journal of Group Theory, 2021 In this note we prove an analog of Hilbert's theorem 90 for finite nilpotent groups. Our version of Hilbert's theorem 90 was inspired by the Boston--Bush--Hajir (BBH) heuristics in number theory and will be useful in extending the BBH heuristics ...
William Cocke
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Equations in virtually class 2 nilpotent groups [PDF]
Groups, Complexity, Cryptology, 2022 We give an algorithm that decides whether a single equation in a group that is virtually a class $2$ nilpotent group with a virtually cyclic commutator subgroup, such as the Heisenberg group, admits a solution.
Alex Levine
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Nilpotent groups are round [PDF]
Israel Journal of Mathematics, 2008 We define a notion of roundness for finite groups. Roughly speaking, a group is round if one can order its elements in a cycle in such a way that some natural summation operators map this cycle into new cycles containing all the elements of the group. Our main result is that this combinatorial property is equivalent to nilpotence.
Berend, Daniel, Boshernitzan, Michael D.
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On finite-by-nilpotent profinite groups [PDF]
International Journal of Group Theory, 2020 Let $\gamma_n=[x_1,\ldots,x_n]$ be the $n$th lower central word. Suppose that $G$ is a profinite group where the conjugacy classes $x^{\gamma_n(G)}$ contains less than $2^{\aleph_0}$ elements for any $x \in G$.
Eloisa Detomi, Marta Morigi
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