Results 21 to 30 of about 1,081 (183)
On Nilpotent Orientably-Regular Maps of Nilpotency Class $4$
The Electronic Journal of Combinatorics, 2022 By a nilpotent map we mean an orientably regular map whose orientation preserving automorphism group is nilpotent. The nilpotent maps are concluded to the maps whose automorphism group is a $2$-group and a complete classification of nilpotent maps of (nilpotency) class $2$ is given by Malnič et al. in [European J. Combin. 33 (2012), 1974-1986].
Wenqin Xu +4 more
openaire +1 more source
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
doaj +1 more source
Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
Journal of Mathematics, 2022 In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
doaj +1 more source
Study Some Properties of a Circulant Matrix
Tikrit Journal of Pure Science, 2023 The aim of this paper is to study the properties of idempotent, nilpotent and stability to a circulant matrix which generated by the first row, finally we showed the relation between this properties with eigenvalues of this matrix.
Akram Salim Mohammed
doaj +1 more source
Journal of Algebra, 2005 In this technical paper, the authors develop precise results on the index of nilpotence of a derivation \(D\) of a semiprime ring \(R\) with characteristic, and also on a related index defined by the ideals of \(R\). Let \(R\) be a semiprime ring with characteristic zero or a prime, \(Q\) the symmetric Martindale quotient ring of \(R\), \(C\) the ...
Chuang, Chen-Lian, Lee, Tsiu-Kwen
openaire +1 more source
Pacific Journal of Mathematics, 1995 Let \(\pi\) be a set of primes, and let \(G\) be a finite \(\pi\)-separable group. Isaacs has defined a canonical basis \(I_\pi(G)\) for the vector space of class functions on the set of \(\pi\)-elements in \(G\). The author calls an element \(\varphi\in I_\pi(G)\) nilpotent if \(\varphi\) is induced from an element \(\delta\in I_\pi(K)\) where \(K ...
openaire +3 more sources
Towards semi-classical analysis for sub-elliptic operators
Bruno Pini Mathematical Analysis Seminar, 2022 We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators.
Véronique Fischer
doaj +1 more source
On almost finitely generated nilpotent groups
International Journal of Mathematics and Mathematical Sciences, 1996 A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p.
Peter Hilton, Robert Militello
doaj +1 more source
Математичні Студії, 2021 We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
doaj +1 more source
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.
openaire +3 more sources