Results 231 to 240 of about 12,692,686 (297)

On the proper enhanced power graphs of finite nilpotent groups

Journal of group theroy, 2022
For a group 𝐺, the enhanced power graph of 𝐺 is a graph with vertex set 𝐺 in which two distinct vertices x , y x,y are adjacent if and only if there exists an element 𝑤 in 𝐺 such that both 𝑥 and 𝑦 are powers of 𝑤.
S. Bera, Hiranya Kishore Dey
semanticscholar   +1 more source

Membership problems in nilpotent groups

journal of Groups, complexity, cryptology
We study both the Submonoid Membership problem and the Rational Subset Membership problem in finitely generated nilpotent groups. We give two reductions with important applications.
Corentin Bodart
semanticscholar   +1 more source

Nilpotent Groups

1994
Abstract With the general theory of the previous chapter in hand, we can begin the structural analysis of groups of finite Morley rank. The general theory occupies Chapters 6 through 9. The present chapter deals with the structure theory for nilpotent groups.
Alexandre Borovik, Ali Nesin
openaire   +1 more source

On constructive nilpotent groups

Siberian Mathematical Journal, 2007
Summary: We prove the following: (1) a torsion-free class 2 nilpotent group is constructivizable if and only if it is isomorphic to the extension of some constructive Abelian group included in the center of the group by some constructive torsion-free Abelian group and some recursive system of factors; (2) a constructivizable torsion-free class 2 ...
openaire   +2 more sources

Compressibility in Nilpotent Groups

Bulletin of the London Mathematical Society, 1985
A group G is compressible if whenever H is a subgroup of finite index in G there exists a copy of G of finite index in H. This paper explores this property in the class of torsion-free finitely generated nilpotent groups, and obtains a local/global theorem. The methods of pro-finite and pro-p completion are used.
openaire   +2 more sources

Semivarieties of nilpotent groups

Algebra and Logic, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Conjugate points in nilpotent sub-Riemannian problem on the Engel group

, 2012
The left-invariant sub-Riemannian problem on the Engel group is considered. This problem is very important as nilpotent approximation of nonholonomic systems in four-dimensional space with two-dimensional control, for instance of a system which describes
A. Ardentov, Y. Sachkov
semanticscholar   +1 more source

Nilpotent fuzzy groups

Fuzzy Sets and Systems, 1999
The paper examines families of fuzzy groups [cf. \textit{M. Asaad, S. Abou-Zaid}, Fuzzy Sets Syst. 60, No. 3, 321-323 (1993; Zbl 0814.20061); \textit{J.-G. Kim}, Inf. Sci. 83, No. 3-4, 161-174 (1995; Zbl 0870.20057); \textit{M.~A.~A. Mishref}, J. Fuzzy Math. 6, No. 4, 811-819 (1998; Zbl 0922.20067)].
Gupta, K. C., Sarma, B. K.
openaire   +2 more sources

Strongly Lie nilpotent group algebras of index at most 8

, 2014
H. Chandra, M. Sahai
semanticscholar   +1 more source

Sexual health among adolescent and young adult cancer survivors: A scoping review from the Children's Oncology Group Adolescent and Young Adult Oncology Discipline Committee

Ca-A Cancer Journal for Clinicians, 2021
Brooke Cherven, Sharon L Bober, Kristin M Bingen   +2 more
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