Results 41 to 50 of about 13,392,009 (311)

Quasirecognition by Prime Graph of the Groups 2D2n(q) Where q < 105

Mathematics, 2018
Let G be a finite group. The prime graph Γ ( G ) of G is defined as follows: The set of vertices of Γ ( G ) is the set of prime divisors of | G | and two distinct vertices p and p ′ are connected in &Gamma ...
Hossein Moradi, Mohammad Reza Darafsheh, Ali Iranmanesh   +2 more
doaj   +1 more source

On Simple K4-Groups

Journal of Algebra, 2001
A finite simple group \(G\) is called simple \(K_n\)-group if the order of \(G\) has exactly \(n\) distinct prime factors. It is well known that the number of simple \(K_3\)-groups is eight [\textit{M. Herzog}, J. Algebra 10, 383-388 (1968; Zbl 0167.29101)].
Bugeaud, Yann, Cao, Zhenfu, Mignotte, Maurice   +2 more
openaire   +2 more sources

ON THE GENERATING GRAPH OF A SIMPLE GROUP [PDF]

Journal of the Australian Mathematical Society, 2016
The generating graph $\unicode[STIX]{x1D6E4}(H)$ of a finite group $H$ is the graph defined on the elements of $H$, with an edge between two vertices if and only if they generate $H$. We show that if $H$ is a sufficiently large simple group with $\unicode[STIX]{x1D6E4}(G)\cong \unicode[STIX]{x1D6E4}(H)$ for a finite group $G$, then $G\cong H$.
LUCCHINI, ANDREA, Marã3ti, Attila, Roney dougal, Colva M.   +2 more
openaire   +3 more sources

Exponential and weakly exponential subgroups of finite groups [PDF]

International Journal of Group Theory
Sabatini [L. Sabatini, Products of subgroups, subnormality, and relative orders of elements, Ars Math. Contemp., 24 no. 1 (2024) 9 pp.] defined a subgroup $H$ of $G$ to be an exponential subgroup if $x^{|G:H|} \in H$ for all $x \in G$, in which case we ...
Eric Swartz, Nicholas J. Werner
doaj   +1 more source

On Cohomology of Simple Modules for Modular Classical Lie Algebras

Axioms, 2022
In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic p>h, where h is a Coxeter number, with coefficients in simple modules.
Sherali S. Ibraev, Larissa S. Kainbaeva, Saulesh K. Menlikozhaeva   +2 more
doaj   +1 more source

Recognition by degree prime-power graph and order of some characteristically simple groups [PDF]

AUT Journal of Mathematics and Computing, 2021
In this paper, by the order of a group and triviality of $O_p(G)$ for some prime $p$, we give a new characterization for some characteristically simple groups. In fact, we prove that if {$p \in \{5, 17, 23, 37, 47, 73\}$ and $n \leqslant p$, where $n$ is
Afsane Bahri, Behrooz Khosravi, Morteza Baniasad Azad   +2 more
doaj   +1 more source

Can simple voting rules approximate the group AHP?

Examples and Counterexamples, 2022
We analyze by means of simulations whether simple voting rules can approximate a group priority obtained by a standard aggregation method used in the group Analytic Hierarchy Process (AHP).
Ryohei Matsumura, Yasuo Sasaki
doaj   +1 more source

Antea Group Archeologie 2019/164

, 2020
projectnummer 456639 rapportvolgnummer 2019/164 De aanleiding tot het uitvoeren van dit bureauonderzoek en inventariserend veldonderzoek door middel van boringen is de voorgenomen sanering c.q.
Fens, R. (Antea Group), Uffink, V. J.B. (Antea Group), Jong, M. de (Antea Group), Bosgraaf, G.B (Antea Group), Kauling, T.A. (Antea Group), Bosgraaf, GERLINDE (Antea Group), Fleuren, I (Antea Group), Fens, R.L. (Antea Group), Fens, RL (Antea Group), Fens, R (Antea Group)   +9 more
core   +1 more source

P-Characters and Solvability of Finite Groups [PDF]

Advances in Group Theory and Applications
The aim of this paper is to show that if all P-characters of a finite group G are normally monomial, then G is solvable. Also, we show that all P-characters of a finite solvable group G are monomial.
Mina Ghorbani, Ali Iranmanesh, Abolfazl Tehranian   +2 more
doaj   +1 more source

Finite simple groups as expanders [PDF]

Proceedings of the National Academy of Sciences, 2006
We prove that there exist k ∈ ℕ and 0 < ε ∈ ℝ such that every non-abelian finite simple group G , which is not a Suzuki group, has a set of k generators for which the Cayley graph Cay( G
Kassabov, M, Lubotzky, A, Nikolov, N
openaire   +3 more sources