Results 71 to 80 of about 993,639 (182)

Intersections of conjugate solvable subgroups in classical groups of Lie type

, 2017
In this paper we obtain a partial solution to Problem 17.41 from "Kourovka notebook": if $S$ is a solvable subgroup of a finite group $G$ with trivial solvable radical, do there exist five conjugate of $S$ with trivial intersection. We consider the case,
Baykalov, Anton
core  

On derangements in simple permutation groups

Forum of Mathematics, Sigma
Let $G \leqslant \mathrm {Sym}(\Omega )$ be a finite transitive permutation group and recall that an element in G is a derangement if it has no fixed points on $\Omega $ . Let $\Delta (G)$ be the set of derangements in G and define
Timothy Burness, Marco Fusari
doaj   +1 more source

Spectral properties of the commuting graphs of certain groups

AKCE International Journal of Graphs and Combinatorics, 2019
Let be a finite group. The commuting graph is a simple graph with vertex set and two vertices are adjacent if and only if they commute with each other.
M. Torktaz, A.R. Ashrafi
doaj   +1 more source

Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]

International Journal of Group Theory, 2016
A group G is said to be a (PF)C-group or to have polycyclic-by-finite conjugacy classes, if G/C_{G}(x^{G}) is a polycyclic-by-finite group for all xin G. This is a generalization of the familiar property of being an FC-group.
Mounia Bouchelaghem, Nadir Trabelsi
doaj  

The Existence of Triple Factorizations for Sporadic Groups of Rank 3

Моделирование и анализ информационных систем, 2015
A finite group G with proper subgroups A and B has triple factorization G = ABA if every element g of G can be represented as g = aba0 , where a and a 0 are from A and b is from B.
L. S. Kazarin, I. A. Rassadin, D. N. Sakharov   +2 more
doaj   +1 more source

Triangle groups and finite simple groups

, 2009
This thesis contains a study of the spaces of homomorphisms from hyperbolic triangle groups to finite groups of Lie type which leads to a number of deterministic, asymptotic, and probabilistic results on the (p1, p2, p3)-generation problem for finite groups of Lie type.
Marion, Claude Miguel Emmanuel, Marion, Claude Miguel Emmanuel   +1 more
openaire   +3 more sources

GRUPOS DE PERMUTAÇÕES E GRUPOS FINITOS SIMPLES

Colloquium Exactarum, 2011
The normality of subgroups in a finite group has a property discovered by E. Galois in 1832, study-group of permutations of roots of polynomial equations.
Lauro Maycon Fernandes Ferreira, Antonio Carlos Tamarozzi, Sônia Angelina Garcia Modesto   +2 more
doaj   +1 more source

On finite groups isospectral to simple classical groups

Journal of Algebra, 2015
The spectrum $ω(G)$ of a finite group $G$ is the set of element orders of $G$. Finite groups $G$ and $H$ are isospectral if their spectra coincide. Suppose that $L$ is a simple classical group of sufficiently large dimension (the lower bound varies for different types of groups but is at most 62) defined over a finite field of characteristic $p$. It is
openaire   +3 more sources

Virtual endomorphisms of the group $pg$

Researches in Mathematics
A virtual endomorphism of a group $G$ is a homomorphism of the form $\phi:H\rightarrow G$, where ...
I. Bondarenko, D. Zashkolny
doaj   +1 more source

Quasirecognition by prime graph of finite simple groups ${}^2D_n(3)$ [PDF]

International Journal of Group Theory, 2014
Let $G$ be a finite group. In [Ghasemabadi et al., characterizations of the simple group ${}^2D_n(3)$ by prime graph and spectrum, Monatsh Math., 2011] it is proved that if $n$ is odd, then ${}^2D _n(3)$ is recognizable by prime graph and also by ...
Behrooz Khosravi , Hossein Moradi
doaj