Results 11 to 20 of about 42,853 (196)
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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Extremal Curves in Nilpotent Lie Groups [PDF]
Geometric and Functional Analysis, 2013 We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an explicit integration of the adjoint equation in Pontryagin Maximum Principle.
Enrico Le Donne +2 more
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Homotopy nilpotent groups [PDF]
Algebraic & Geometric Topology, 2010 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 and loop spaces.
Biedermann, Georg, Dwyer, William G
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Polynomial sequences in discrete nilpotent groups of step 2
Advanced Nonlinear Studies, 2023 We discuss some of our work on averages along polynomial sequences in nilpotent groups of step 2. Our main results include boundedness of associated maximal functions and singular integrals operators, an almost everywhere pointwise convergence theorem ...
Ionescu Alexandru D. +3 more
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New lower bounds for the number of conjugacy classes in finite nilpotent groups [PDF]
International Journal of Group Theory, 2022 P. Hall's classical equality for the number of conjugacy classes in $p$-groups yields $k(G) \ge (3/2) \log_2 |G|$ when $G$ is nilpotent. Using only Hall's theorem, this is the best one can do when $|G| = 2^n$. Using a result of G.J.
Edward A. Bertram
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A classification of nilpotent $3$-BCI groups [PDF]
International Journal of Group Theory, 2019 Given a finite group $G$ and a subset $Ssubseteq G,$ the bi-Cayley graph $bcay(G,S)$ is the graph whose vertex set is $G times {0,1}$ and edge set is ${ {(x,0),(s x,1)} : x in G, sin S }$.
Hiroki Koike, Istvan Kovacs
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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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Formalized 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
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Residual Properties of Nilpotent Groups
Моделирование и анализ информационных систем, 2015 Let π be a set of primes. Recall that a group G is said to be a residually finite π-group if for every nonidentity element a of G there exists a homomorphism of the group G onto some finite π-group such that the image of the element a differs from 1.
D. N. Azarov
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