Results 11 to 20 of about 45,695 (240)
Homotopy nilpotent groups [PDF]
Algebraic & Geometric Topology, 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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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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Conjugacy in nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 1965 1. Statement of the theorem. The aim of the present note is to investigate possible generalizations of the well-known fact that if a is a nonidentity element of a finitely-generated nilpotent group G, there exists an epimorphism 4 of G onto a finite group such that acu P 1. The generalization that we consider is the following.
Norman Blackburn
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A theorem of nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 1968 Chong-Yun Chao
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On the anticenter of nilpotent groups [PDF]
Illinois Journal of Mathematics, 1968 Wolfgang P. Kappe
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On Torsion-by-Nilpotent Groups [PDF]
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 \
Gérard Endimioni, Gunnar Traustason
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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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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.
Daniel Berend +2 more
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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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