Results 101 to 110 of about 1,062 (223)

The NILPOTENT Characterization of the finite neutrosophic p-groups

, 2022
A well known and referenced global result is the nilpotent characterisation of the finite p-groups. This un doubtedly transends into neutrosophy. Hence, this fact of the neutrosophic nilpotent p-groups is worth critical studying and comprehensive ...
Adebisi, S. A., Smarandache, Florentin
core   +1 more source

Uniform growth in small cancellation groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract An open question asks whether every group acting acylindrically on a hyperbolic space has uniform exponential growth. We prove that the class of groups of uniform uniform exponential growth acting acylindrically on a hyperbolic space is closed under taking certain geometric small cancellation quotients.
Xabier Legaspi, Markus Steenbock
wiley   +1 more source

On the centralizer of the sum of commuting nilpotent elements

Journal of Pure and Applied Algebra, 2006
Let X and Y be commuting nilpotent K-endomorphisms of a vector space V, where K is a field of characteristic p >= 0. If F=K(t) is the field of rational functions on the projective line, consider the K(t)-endomorphism A=X+tY of V. If p=0, or if the (p-1)-st power of A is 0, we show here that X and Y are tangent to the unipotent radical of the ...
openaire   +3 more sources

A P‐adic class formula for Anderson t‐modules

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley   +1 more source

Borel subgroups adapted to nilpotent elements of standard Levi type

, 2014
International audienceLet a reductive algebraic group over an algebraically closed field of good characteristic be given. Attached to a nilpotent element of its Lie algebra, we consider a family of algebraic varieties, which incorporates classical ...
Fresse, Lucas
core   +1 more source

On the girth of regular digraph of ideals of an Artinian ring

AKCE International Journal of Graphs and Combinatorics, 2015
Let R be a commutative ring. The regular digraph of ideals of R, denoted by Γ(R), is a digraph whose vertex-set is the set of all non-trivial ideals of R and, for every two distinct vertices I and J, there is an arc from I to J, whenever I contains an ...
Masoud Karimi
doaj   +1 more source

Direct sums of J-rings and radical rings

International Journal of Mathematics and Mathematical Sciences, 1995
Let R be a ring, J(R) the Jacobson radical of R and P the set of potent elements of R. We prove that if R satisfies (∗) given x, y in R there exist integers m=m(x,y)>1 and n=n(x,y)>1 such that xmy=xyn and if each x∈R is the sum of a potent element and a ...
Xiuzhan Guo
doaj   +1 more source

Refined Dynkin Data for Nilpotent Elements

Advances in Mathematics, 1994
For a complex semisimple Lie group \(G\), whose Lie algebra \(\mathfrak g\) acts by vector fields on the flag variety \({\mathcal B} (G/B)\), the class \(\text{cl}_B(x)\) (Cartan algebra of \(\mathfrak g\)) of nilpotent elements \(x \in \mathfrak g\) with respect to the Borel subgroup \(B \in {\mathcal B}\) in \(G\) is defined and studied in detail ...
openaire   +2 more sources

The classification of modular Lie superalgebras of type M

Open Mathematics, 2015
The natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements.
Ma Lili, Chen Liangyun
doaj   +1 more source

Finite groups whose order graph is C4-free [PDF]

Proceedings of the Estonian Academy of Sciences
Given a finite group G , the order graph of G, denoted by S(G), is a graph whose vertex set is G, and two distinct vertices a and b are adjacent if o(a) | o(b) or o(b) | o(a), where o(a), and o(b), are the orders of a and b in G, respectively.
Jin Chen, Jie Chen, Shixun Lin
doaj   +1 more source